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Finding the Third Proportional to 396,024.75 and 851,757.75

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Solution

The third proportional to 396,024.75 and 851,757.75 is: 1,831,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,024.75 : 851,757.75 = 851,757.75 : x
  2. Step 2: Convert to fraction form
    396,024.75/851,757.75 = 851,757.75/x
  3. Step 3: Cross multiply
    396,024.75x = 851,757.75 × 851,757.75
  4. Step 4: Simplify right side
    396,024.75x = 725,491,264,685.06
  5. Step 5: Solve for x
    x = 725,491,264,685.06/396,024.75
  6. Step 6: Final answer
    x = 1,831,934.15

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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.