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Finding the Third Proportional to 396,753.19 and 897,978.66

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Solution

The third proportional to 396,753.19 and 897,978.66 is: 2,032,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,753.19 : 897,978.66 = 897,978.66 : x
  2. Step 2: Convert to fraction form
    396,753.19/897,978.66 = 897,978.66/x
  3. Step 3: Cross multiply
    396,753.19x = 897,978.66 × 897,978.66
  4. Step 4: Simplify right side
    396,753.19x = 806,365,667,080.56
  5. Step 5: Solve for x
    x = 806,365,667,080.56/396,753.19
  6. Step 6: Final answer
    x = 2,032,411.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.