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Finding the Third Proportional to 451,757.25 and 665,121.38

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Solution

The third proportional to 451,757.25 and 665,121.38 is: 979,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,757.25 : 665,121.38 = 665,121.38 : x
  2. Step 2: Convert to fraction form
    451,757.25/665,121.38 = 665,121.38/x
  3. Step 3: Cross multiply
    451,757.25x = 665,121.38 × 665,121.38
  4. Step 4: Simplify right side
    451,757.25x = 442,386,443,481.89
  5. Step 5: Solve for x
    x = 442,386,443,481.89/451,757.25
  6. Step 6: Final answer
    x = 979,256.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.