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Finding the Third Proportional to 313,743.38 and 471,331.13

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Solution

The third proportional to 313,743.38 and 471,331.13 is: 708,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,743.38 : 471,331.13 = 471,331.13 : x
  2. Step 2: Convert to fraction form
    313,743.38/471,331.13 = 471,331.13/x
  3. Step 3: Cross multiply
    313,743.38x = 471,331.13 × 471,331.13
  4. Step 4: Simplify right side
    313,743.38x = 222,153,029,393.77
  5. Step 5: Solve for x
    x = 222,153,029,393.77/313,743.38
  6. Step 6: Final answer
    x = 708,072.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.