You're ok. The ammo you got fits the gun you got.
Now, some minor stuff: NATO ammo is designed to be used in semi-auto weapons, so they are a thousandth of an inch or so thinner in diameter. This makes for easier chambering and extracting. It is of no concern as compared to civilian ammo. It is of no concern in any bolt action rifle.
For those who reload their own ammunition, a safety item is that military cartridge cases ("brass") commonly have slightly thicker sidewalls than civilian brass. This means that if you load as much powder (civilian brass maximum-pressure load) into a military case, the pressures can be dangerously high.
Semi-auto design features for the miltary generally are uniform to operate at around 47,000 psi to 50,000 psi. Roughly. Civilian factory loadings are generally around 53,000 psi to 55,000 psi. This higher pressure can force the operating rod to cycle harder than intended, which can bend or break the rod. These pressure differences are meaningless in a bolt-action rifle, other than velocity and therefore trajectory of the bullet.
Hope this helps a bit...
You're from BATFE? Come right in! I use all your fine products!