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Finding the Third Proportional to 396,235.13 and 601,921.13

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Solution

The third proportional to 396,235.13 and 601,921.13 is: 914,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,235.13 : 601,921.13 = 601,921.13 : x
  2. Step 2: Convert to fraction form
    396,235.13/601,921.13 = 601,921.13/x
  3. Step 3: Cross multiply
    396,235.13x = 601,921.13 × 601,921.13
  4. Step 4: Simplify right side
    396,235.13x = 362,309,040,721.27
  5. Step 5: Solve for x
    x = 362,309,040,721.27/396,235.13
  6. Step 6: Final answer
    x = 914,378.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.