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Finding the Third Proportional to 396,105 and 855,342.75

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Solution

The third proportional to 396,105 and 855,342.75 is: 1,847,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,105 : 855,342.75 = 855,342.75 : x
  2. Step 2: Convert to fraction form
    396,105/855,342.75 = 855,342.75/x
  3. Step 3: Cross multiply
    396,105x = 855,342.75 × 855,342.75
  4. Step 4: Simplify right side
    396,105x = 731,611,219,977.56
  5. Step 5: Solve for x
    x = 731,611,219,977.56/396,105
  6. Step 6: Final answer
    x = 1,847,013.34

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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.