Finding the Third Proportional to 470,304 and 709,696
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Solution
The third proportional to 470,304 and 709,696 is: 1,070,942.23
Step by Step Solution
- Step 1: Write the proportion equation
470,304 : 709,696 = 709,696 : x - Step 2: Convert to fraction form
470,304/709,696 = 709,696/x - Step 3: Cross multiply
470,304x = 709,696 × 709,696 - Step 4: Simplify right side
470,304x = 503,668,412,416 - Step 5: Solve for x
x = 503,668,412,416/470,304 - Step 6: Final answer
x = 1,070,942.23
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.