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Finding the Third Proportional to 267,408 and 587,297.25

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Solution

The third proportional to 267,408 and 587,297.25 is: 1,289,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408 : 587,297.25 = 587,297.25 : x
  2. Step 2: Convert to fraction form
    267,408/587,297.25 = 587,297.25/x
  3. Step 3: Cross multiply
    267,408x = 587,297.25 × 587,297.25
  4. Step 4: Simplify right side
    267,408x = 344,918,059,857.56
  5. Step 5: Solve for x
    x = 344,918,059,857.56/267,408
  6. Step 6: Final answer
    x = 1,289,856.92

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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.