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Finding the Third Proportional to 396,039 and 851,760.75

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Solution

The third proportional to 396,039 and 851,760.75 is: 1,831,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,039 : 851,760.75 = 851,760.75 : x
  2. Step 2: Convert to fraction form
    396,039/851,760.75 = 851,760.75/x
  3. Step 3: Cross multiply
    396,039x = 851,760.75 × 851,760.75
  4. Step 4: Simplify right side
    396,039x = 725,496,375,240.56
  5. Step 5: Solve for x
    x = 725,496,375,240.56/396,039
  6. Step 6: Final answer
    x = 1,831,881.14

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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.