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Finding the Third Proportional to 396,022.50 and 851,752.13

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Solution

The third proportional to 396,022.50 and 851,752.13 is: 1,831,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,022.50 : 851,752.13 = 851,752.13 : x
  2. Step 2: Convert to fraction form
    396,022.50/851,752.13 = 851,752.13/x
  3. Step 3: Cross multiply
    396,022.50x = 851,752.13 × 851,752.13
  4. Step 4: Simplify right side
    396,022.50x = 725,481,682,442.02
  5. Step 5: Solve for x
    x = 725,481,682,442.02/396,022.50
  6. Step 6: Final answer
    x = 1,831,920.36

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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.