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Finding the Third Proportional to 442,401.75 and 667,227.38

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Solution

The third proportional to 442,401.75 and 667,227.38 is: 1,006,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,401.75 : 667,227.38 = 667,227.38 : x
  2. Step 2: Convert to fraction form
    442,401.75/667,227.38 = 667,227.38/x
  3. Step 3: Cross multiply
    442,401.75x = 667,227.38 × 667,227.38
  4. Step 4: Simplify right side
    442,401.75x = 445,192,369,949.39
  5. Step 5: Solve for x
    x = 445,192,369,949.39/442,401.75
  6. Step 6: Final answer
    x = 1,006,307.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.