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Finding the Third Proportional to 443,103.75 and 664,507.13

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Solution

The third proportional to 443,103.75 and 664,507.13 is: 996,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,103.75 : 664,507.13 = 664,507.13 : x
  2. Step 2: Convert to fraction form
    443,103.75/664,507.13 = 664,507.13/x
  3. Step 3: Cross multiply
    443,103.75x = 664,507.13 × 664,507.13
  4. Step 4: Simplify right side
    443,103.75x = 441,569,719,175.77
  5. Step 5: Solve for x
    x = 441,569,719,175.77/443,103.75
  6. Step 6: Final answer
    x = 996,537.99

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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.