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Finding the Third Proportional to 312,537.38 and 466,747.31

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Solution

The third proportional to 312,537.38 and 466,747.31 is: 697,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,537.38 : 466,747.31 = 466,747.31 : x
  2. Step 2: Convert to fraction form
    312,537.38/466,747.31 = 466,747.31/x
  3. Step 3: Cross multiply
    312,537.38x = 466,747.31 × 466,747.31
  4. Step 4: Simplify right side
    312,537.38x = 217,853,053,725.97
  5. Step 5: Solve for x
    x = 217,853,053,725.97/312,537.38
  6. Step 6: Final answer
    x = 697,046.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.