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Finding the Third Proportional to 395,134.88 and 932,453.44

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Solution

The third proportional to 395,134.88 and 932,453.44 is: 2,200,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,134.88 : 932,453.44 = 932,453.44 : x
  2. Step 2: Convert to fraction form
    395,134.88/932,453.44 = 932,453.44/x
  3. Step 3: Cross multiply
    395,134.88x = 932,453.44 × 932,453.44
  4. Step 4: Simplify right side
    395,134.88x = 869,469,413,105.57
  5. Step 5: Solve for x
    x = 869,469,413,105.57/395,134.88
  6. Step 6: Final answer
    x = 2,200,437.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.