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Finding the Third Proportional to 230,791.50 and 479,929.50

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Solution

The third proportional to 230,791.50 and 479,929.50 is: 998,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,791.50 : 479,929.50 = 479,929.50 : x
  2. Step 2: Convert to fraction form
    230,791.50/479,929.50 = 479,929.50/x
  3. Step 3: Cross multiply
    230,791.50x = 479,929.50 × 479,929.50
  4. Step 4: Simplify right side
    230,791.50x = 230,332,324,970.25
  5. Step 5: Solve for x
    x = 230,332,324,970.25/230,791.50
  6. Step 6: Final answer
    x = 998,010.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.