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Finding the Third Proportional to 396,071.44 and 855,273.94

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Solution

The third proportional to 396,071.44 and 855,273.94 is: 1,846,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,071.44 : 855,273.94 = 855,273.94 : x
  2. Step 2: Convert to fraction form
    396,071.44/855,273.94 = 855,273.94/x
  3. Step 3: Cross multiply
    396,071.44x = 855,273.94 × 855,273.94
  4. Step 4: Simplify right side
    396,071.44x = 731,493,508,166.75
  5. Step 5: Solve for x
    x = 731,493,508,166.75/396,071.44
  6. Step 6: Final answer
    x = 1,846,872.66

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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.