When you enter an Inner Core system, before you do it you can lower the performances. That will surely take out any problem there for any high or low end PC.
The card of the PC I'm nearly always using, has an Asus Ati Radeon A9250... but it has 128 MB DDR (ddr 1 )... and it works great for hours, with a low CPU too. But well, the manually added directioned cooler is making it's job really good xD