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Finding the Third Proportional to 521 and 915

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Solution

The third proportional to 521 and 915 is: 1,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 915 = 915 : x
  2. Step 2: Convert to fraction form
    521/915 = 915/x
  3. Step 3: Cross multiply
    521x = 915 × 915
  4. Step 4: Simplify right side
    521x = 837,225
  5. Step 5: Solve for x
    x = 837,225/521
  6. Step 6: Final answer
    x = 1,606.96

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.