Finding the Third Proportional to 509 and 552
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Solution
The third proportional to 509 and 552 is: 598.63
Step by Step Solution
- Step 1: Write the proportion equation
509 : 552 = 552 : x - Step 2: Convert to fraction form
509/552 = 552/x - Step 3: Cross multiply
509x = 552 × 552 - Step 4: Simplify right side
509x = 304,704 - Step 5: Solve for x
x = 304,704/509 - Step 6: Final answer
x = 598.63
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.