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Finding the Third Proportional to 468,747.70 and 663,709.92

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Solution

The third proportional to 468,747.70 and 663,709.92 is: 939,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,747.70 : 663,709.92 = 663,709.92 : x
  2. Step 2: Convert to fraction form
    468,747.70/663,709.92 = 663,709.92/x
  3. Step 3: Cross multiply
    468,747.70x = 663,709.92 × 663,709.92
  4. Step 4: Simplify right side
    468,747.70x = 440,510,860,395.32
  5. Step 5: Solve for x
    x = 440,510,860,395.32/468,747.70
  6. Step 6: Final answer
    x = 939,761.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.