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Finding the Third Proportional to 267,624 and 587,712

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Solution

The third proportional to 267,624 and 587,712 is: 1,290,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,624 : 587,712 = 587,712 : x
  2. Step 2: Convert to fraction form
    267,624/587,712 = 587,712/x
  3. Step 3: Cross multiply
    267,624x = 587,712 × 587,712
  4. Step 4: Simplify right side
    267,624x = 345,405,394,944
  5. Step 5: Solve for x
    x = 345,405,394,944/267,624
  6. Step 6: Final answer
    x = 1,290,636.84

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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.