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Finding the Third Proportional to 442,885.50 and 664,207.88

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Solution

The third proportional to 442,885.50 and 664,207.88 is: 996,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,885.50 : 664,207.88 = 664,207.88 : x
  2. Step 2: Convert to fraction form
    442,885.50/664,207.88 = 664,207.88/x
  3. Step 3: Cross multiply
    442,885.50x = 664,207.88 × 664,207.88
  4. Step 4: Simplify right side
    442,885.50x = 441,172,101,212.02
  5. Step 5: Solve for x
    x = 441,172,101,212.02/442,885.50
  6. Step 6: Final answer
    x = 996,131.28

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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.