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Finding the Third Proportional to 641,001 and 928,429.50

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Solution

The third proportional to 641,001 and 928,429.50 is: 1,344,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,001 : 928,429.50 = 928,429.50 : x
  2. Step 2: Convert to fraction form
    641,001/928,429.50 = 928,429.50/x
  3. Step 3: Cross multiply
    641,001x = 928,429.50 × 928,429.50
  4. Step 4: Simplify right side
    641,001x = 861,981,336,470.25
  5. Step 5: Solve for x
    x = 861,981,336,470.25/641,001
  6. Step 6: Final answer
    x = 1,344,742.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.