Yep. As a side note the Finns designate the same cartridge as 7.62x53. As stated the "R" should be added for proper identification of the cartridge. Example: 7.62 x 51 = .308 win
7.62 x 51R = .30-30 win
Just make sure that you know if a cartridge is rimmed or not. If you are shooting a Mosin nagant ,yes you need 7.62x54R.