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Finding the Third Proportional to 261,692 and 415,051

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Solution

The third proportional to 261,692 and 415,051 is: 658,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,692 : 415,051 = 415,051 : x
  2. Step 2: Convert to fraction form
    261,692/415,051 = 415,051/x
  3. Step 3: Cross multiply
    261,692x = 415,051 × 415,051
  4. Step 4: Simplify right side
    261,692x = 172,267,332,601
  5. Step 5: Solve for x
    x = 172,267,332,601/261,692
  6. Step 6: Final answer
    x = 658,282.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.