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Finding the Third Proportional to 444,650 and 665,751

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Solution

The third proportional to 444,650 and 665,751 is: 996,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,650 : 665,751 = 665,751 : x
  2. Step 2: Convert to fraction form
    444,650/665,751 = 665,751/x
  3. Step 3: Cross multiply
    444,650x = 665,751 × 665,751
  4. Step 4: Simplify right side
    444,650x = 443,224,394,001
  5. Step 5: Solve for x
    x = 443,224,394,001/444,650
  6. Step 6: Final answer
    x = 996,793.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.