Finding the Third Proportional to 410 and 463
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Solution
The third proportional to 410 and 463 is: 522.85
Step by Step Solution
- Step 1: Write the proportion equation
410 : 463 = 463 : x - Step 2: Convert to fraction form
410/463 = 463/x - Step 3: Cross multiply
410x = 463 × 463 - Step 4: Simplify right side
410x = 214,369 - Step 5: Solve for x
x = 214,369/410 - Step 6: Final answer
x = 522.85
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.