Here's a link to the Mossberg site & their owners manual for the Model500 and it's variants:
http://www.mossberg.com/wp-content/uploads/2015/04/500-535ATS-835Ulti-Mag-505-590-en.pdf
In there you'll find the following (note the last entry re: Model 500):
"...835®Models are designated to fire 12 gauge 2-3/4", 3", or 3-1/2" factory loaded ammunition.
Do not fire slugs of any type (single projectile ammunition) through the overbored 835
Accu-Mag barrel. This barrel is designated to shoot lead or steel pellet shot loads only. Use
only 835 barrels designated specifically for slug shooting.
535™ Models are designed for factory loaded 2-3/4", 3", and 3-1/2" shells and rifled
slugs.
590® Models handle 12 ga. 2-3/4" or 3" magnum shells.
500® and 505™ Models
are designed for 2-3/4" (2-1/2" .410 bore) and 3" magnum shells within gauge..."
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FWIW,,I wouldn't shoot 3" in a 2 3/4" chamber even a few times. There's just too much of the longer shell wall opening into the forcing cone ahead of the 2 3/4" chamber. That makes the wad & shot load squeeze through the reduced opening.
Forcing cones vary quite a bit in both length and angle (the older guns usually being the most abrupt and short).
Depending on the bbl wall thickness at that point, it could leave you with a bulged bbl in the very least. That's pretty much it for that bbl though some will pound them down and call it good,,not me.
Lengthening forcing cones is one way old guns with 'short chambers' (2 5/8, 2 9/16) are sometimes altered to take modern 2 3/4" cases. It allows the 1/16 to 1/8 inch of extra length of shell in these instances to unfold in a much less abrupt and gentle angled forcing cone.
You still have to keep breech pressures low and have to do some measuring to determine wether the bbl wall thickness is suitible at that point to take this less drastic alteration than lengthening the chamber to 2 3/4" which would also then require a new forcing cone ahead of that.
Most purists and collectors say simply leave them alone and make or buy the correct ammunition for the gun.