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Finding the Third Proportional to 458,604 and 660,561

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Solution

The third proportional to 458,604 and 660,561 is: 951,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,604 : 660,561 = 660,561 : x
  2. Step 2: Convert to fraction form
    458,604/660,561 = 660,561/x
  3. Step 3: Cross multiply
    458,604x = 660,561 × 660,561
  4. Step 4: Simplify right side
    458,604x = 436,340,834,721
  5. Step 5: Solve for x
    x = 436,340,834,721/458,604
  6. Step 6: Final answer
    x = 951,454.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.