a city poplation of 350,000 the poplation has decreased by 30% in the past ten years what was the poplation of the city ten years"
I'm guessing the question is asking for the population ten years ago.
Since the population has decreased by 30%, the population now (350,000) is 70% = 7/10 of the original population. So then,
\((\text{population 10 years ago})\cdot\frac{7}{10}=350,000\).
Multiplying both sides by 10/7 to cancel out the fraction gives
\(\text{population 10 years ago} = 350,000\cdot\frac{10}{7}=\boxed{500,000}\)