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Finding the Third Proportional to 267,450 and 587,604

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Solution

The third proportional to 267,450 and 587,604 is: 1,291,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,450 : 587,604 = 587,604 : x
  2. Step 2: Convert to fraction form
    267,450/587,604 = 587,604/x
  3. Step 3: Cross multiply
    267,450x = 587,604 × 587,604
  4. Step 4: Simplify right side
    267,450x = 345,278,460,816
  5. Step 5: Solve for x
    x = 345,278,460,816/267,450
  6. Step 6: Final answer
    x = 1,291,001.91

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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.