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Finding the Third Proportional to 267,429 and 587,349

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Solution

The third proportional to 267,429 and 587,349 is: 1,289,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,429 : 587,349 = 587,349 : x
  2. Step 2: Convert to fraction form
    267,429/587,349 = 587,349/x
  3. Step 3: Cross multiply
    267,429x = 587,349 × 587,349
  4. Step 4: Simplify right side
    267,429x = 344,978,847,801
  5. Step 5: Solve for x
    x = 344,978,847,801/267,429
  6. Step 6: Final answer
    x = 1,289,982.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.