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Finding the Third Proportional to 396,074.25 and 851,856.75

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Solution

The third proportional to 396,074.25 and 851,856.75 is: 1,832,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,074.25 : 851,856.75 = 851,856.75 : x
  2. Step 2: Convert to fraction form
    396,074.25/851,856.75 = 851,856.75/x
  3. Step 3: Cross multiply
    396,074.25x = 851,856.75 × 851,856.75
  4. Step 4: Simplify right side
    396,074.25x = 725,659,922,520.56
  5. Step 5: Solve for x
    x = 725,659,922,520.56/396,074.25
  6. Step 6: Final answer
    x = 1,832,131.03

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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.