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Finding the Third Proportional to 396,027 and 851,736.75

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Solution

The third proportional to 396,027 and 851,736.75 is: 1,831,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,027 : 851,736.75 = 851,736.75 : x
  2. Step 2: Convert to fraction form
    396,027/851,736.75 = 851,736.75/x
  3. Step 3: Cross multiply
    396,027x = 851,736.75 × 851,736.75
  4. Step 4: Simplify right side
    396,027x = 725,455,491,300.56
  5. Step 5: Solve for x
    x = 725,455,491,300.56/396,027
  6. Step 6: Final answer
    x = 1,831,833.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.