You can calculate concentration using whatever units you want, it has nothing to do with parts per thousand. Parts per thousand means nothing without units. Parts per thousand is merely a ratio whereas concentration is a proportion.
It is wayyyy too much work but if you're up for a challenge, the average concentration of NaCl(the primary ionic salt in seawater and the salt we use for our fish tanks) is 35 ppt or 35 g per 1000 grams. Obviously we don't use grams of water in fish tanks, most of us use gallons or liters. Keeping it simple, water weighs 1 kilogram per liter so a gallon (about 3.78 liters) would weigh 3780 grams. Most people use salt in their freshwater aquariums at a rate of about 1 tablespoon (~6 grams) for every 5 gallons of water. This works out to about 1.2 grams of salt per gallon of water. A gallon of water weighs 3780 grams so the proportional parts per thousand ratio would be 0.317grams of salt per 1000 grams of water or 0.317 ppt.
In the end I would just stick with grams of salt and gallons of water as that is how most dosage rates are conveyed anyways.