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Finding the Third Proportional to 261,952 and 571,872

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Solution

The third proportional to 261,952 and 571,872 is: 1,248,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,952 : 571,872 = 571,872 : x
  2. Step 2: Convert to fraction form
    261,952/571,872 = 571,872/x
  3. Step 3: Cross multiply
    261,952x = 571,872 × 571,872
  4. Step 4: Simplify right side
    261,952x = 327,037,584,384
  5. Step 5: Solve for x
    x = 327,037,584,384/261,952
  6. Step 6: Final answer
    x = 1,248,463.78

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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.