Correct, it's probably an 1903 or 1903A3. Nicely done too but honestly, I'd value it less than most $700 max. The market is starting to cool a bit, and wasn't all that hot for military sporter rifles. .30-338 Win isn't a mainstream cartridge, do you know if its chamber close enough to fire .300 Norma Mag safely or do you have a set of dies? The style of rifle isn't popular any longer, unless someone is looking for nostalgia because their father, grandfather, or mentors used a similar rifle. Most people will look at new rifles when spending over $700 and feel they're getting a better deal.
