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Finding the Third Proportional to 451,389.11 and 660,469.73

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Solution

The third proportional to 451,389.11 and 660,469.73 is: 966,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,389.11 : 660,469.73 = 660,469.73 : x
  2. Step 2: Convert to fraction form
    451,389.11/660,469.73 = 660,469.73/x
  3. Step 3: Cross multiply
    451,389.11x = 660,469.73 × 660,469.73
  4. Step 4: Simplify right side
    451,389.11x = 436,220,262,285.50
  5. Step 5: Solve for x
    x = 436,220,262,285.50/451,389.11
  6. Step 6: Final answer
    x = 966,395.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.