Finding the Third Proportional to 410 and 537
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Solution
The third proportional to 410 and 537 is: 703.34
Step by Step Solution
- Step 1: Write the proportion equation
410 : 537 = 537 : x - Step 2: Convert to fraction form
410/537 = 537/x - Step 3: Cross multiply
410x = 537 × 537 - Step 4: Simplify right side
410x = 288,369 - Step 5: Solve for x
x = 288,369/410 - Step 6: Final answer
x = 703.34
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.