Finding the Third Proportional to 462 and 521
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Solution
The third proportional to 462 and 521 is: 587.53
Step by Step Solution
- Step 1: Write the proportion equation
462 : 521 = 521 : x - Step 2: Convert to fraction form
462/521 = 521/x - Step 3: Cross multiply
462x = 521 × 521 - Step 4: Simplify right side
462x = 271,441 - Step 5: Solve for x
x = 271,441/462 - Step 6: Final answer
x = 587.53
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.