Short answer is YES, the second DI will take care of the rest if the TDS.
Long answer. You likely have "other problems", as the first DI should take the water to 0 TDS if it is working properly. It is either starting to wear out, or it is a horizontal cartridge and the water is bypassing some of the resin either by going over top of it (due to settling) or by channeling through it (due to it being packed to loosely).
Horizontal resin chambers are useless really. A vertical cartridge is much batter at forcing the water through all of the resin, and letting gravity help prevent channeling and bypassing.
You would be better off using a 75 GDP membrane, as the savings will add up quickly. This may mean changing the flow regulator on your unit (a few more bucks). Turning hte horizontal cartridge verical "may help" but it still is not the same as a true vertical cartridge.
Bean