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Finding the Third Proportional to 424,414.69 and 662,455.97

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Solution

The third proportional to 424,414.69 and 662,455.97 is: 1,034,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,414.69 : 662,455.97 = 662,455.97 : x
  2. Step 2: Convert to fraction form
    424,414.69/662,455.97 = 662,455.97/x
  3. Step 3: Cross multiply
    424,414.69x = 662,455.97 × 662,455.97
  4. Step 4: Simplify right side
    424,414.69x = 438,847,910,532.50
  5. Step 5: Solve for x
    x = 438,847,910,532.50/424,414.69
  6. Step 6: Final answer
    x = 1,034,007.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.