3. (8 points) A toy car, on the first day it was priced at a $100\%$ profit, but no one bought it; on the second day, the price was reduced by $10\%$, but still no one bought it; on the third day, the price was reduced by 360 yuan, and it was finally sold. It is known that the selling price is 1.44 times the purchase price. What is the purchase price of the toy car? $\qquad$ yuan.