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Finding the Third Proportional to 124,577 and 292,463

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Solution

The third proportional to 124,577 and 292,463 is: 686,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,577 : 292,463 = 292,463 : x
  2. Step 2: Convert to fraction form
    124,577/292,463 = 292,463/x
  3. Step 3: Cross multiply
    124,577x = 292,463 × 292,463
  4. Step 4: Simplify right side
    124,577x = 85,534,606,369
  5. Step 5: Solve for x
    x = 85,534,606,369/124,577
  6. Step 6: Final answer
    x = 686,600.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.