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Finding the Third Proportional to 239,534 and 521,592

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Solution

The third proportional to 239,534 and 521,592 is: 1,135,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,534 : 521,592 = 521,592 : x
  2. Step 2: Convert to fraction form
    239,534/521,592 = 521,592/x
  3. Step 3: Cross multiply
    239,534x = 521,592 × 521,592
  4. Step 4: Simplify right side
    239,534x = 272,058,214,464
  5. Step 5: Solve for x
    x = 272,058,214,464/239,534
  6. Step 6: Final answer
    x = 1,135,781.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.