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Finding the Third Proportional to 396,105.19 and 855,336.38

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Solution

The third proportional to 396,105.19 and 855,336.38 is: 1,846,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,105.19 : 855,336.38 = 855,336.38 : x
  2. Step 2: Convert to fraction form
    396,105.19/855,336.38 = 855,336.38/x
  3. Step 3: Cross multiply
    396,105.19x = 855,336.38 × 855,336.38
  4. Step 4: Simplify right side
    396,105.19x = 731,600,314,398.14
  5. Step 5: Solve for x
    x = 731,600,314,398.14/396,105.19
  6. Step 6: Final answer
    x = 1,846,984.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.