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Finding the Third Proportional to 396,311.06 and 613,785.09

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Solution

The third proportional to 396,311.06 and 613,785.09 is: 950,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,311.06 : 613,785.09 = 613,785.09 : x
  2. Step 2: Convert to fraction form
    396,311.06/613,785.09 = 613,785.09/x
  3. Step 3: Cross multiply
    396,311.06x = 613,785.09 × 613,785.09
  4. Step 4: Simplify right side
    396,311.06x = 376,732,141,309.70
  5. Step 5: Solve for x
    x = 376,732,141,309.70/396,311.06
  6. Step 6: Final answer
    x = 950,597.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.