That "loose as a goose" description is something I've heard before from those new to reloading, so frequently that it's rather obvious it's an easy mistake to make.
What you are doing wrong is expanding the case too deeply. A lot of manuals and die manufacturers assume that the person using their tools has a fair about of experience. As a result a lot of newbies make the mistake of using the expander to expand the case for the full depth of the bullet. To be clear and specific, than is NOT the purpose of the exanding die. The purpose of the expander die is to place a very small and SHORT flare on the very end of the case so that a bullet will start easily in the case. In general you want the largest measured diameter to be only 0.005 to 0.007 inch larger than the diameter of the case immediately after it's been sized. Set up properly and that flare at the end of the case will only be about 1/16 inch long. In addition when you place a bullet in the flared case it will sit mostly straight and a bit of firm pressure will cause the bullet to "cap" the case firmly enough that you can pick up the case with just the bullet. So step one is to set up your expanding die correctly.
Step two is bullet selection. Those 240 and 300 grain bullets you just acquired are intended for use with the 45 Long Colt, NOT the 45 Autorim. If you load in the light to moderate range you can probably safely use the 240 grain bullets but you will want to load them to a overall length at least 0.03 inch longer than that recommended for the 230 grain XTP. I would consider the 300 grain bullets you have as UNSAFE in the 45 Autorim, you just don't have enough volume in the shorter Autorim case for a 45 caliber bullet this heavy. If you attempt to use these bullets there is a very real chance that you could BLOW UP YOUR GUN.
As for loading data, as Rule3 noted it is the same as that for the 45 ACP. Because the 45 Autorim is basically a 45 ACP case with a rim added to it for use without moon clips in a 45 caliber revolver. Personally, I would set those 240 grain bullets aside and go back to loading with the 230 grain XTP. I would also forget about using Titegroup for this load, it's just not a good choice for this application. This means that you'll probably have to do a bit of shopping for a different powder. One powder option that is somewhat easy to find in my area is Accurate #5 and it is highly suited to the use of a 230 grain bullet in the 45 ACP. Other options are Reliant Silhouette, v-N350, Power Pistol, V-N340, and Longshot.