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Finding the Third Proportional to 395,228.25 and 591,761.25

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Solution

The third proportional to 395,228.25 and 591,761.25 is: 886,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,228.25 : 591,761.25 = 591,761.25 : x
  2. Step 2: Convert to fraction form
    395,228.25/591,761.25 = 591,761.25/x
  3. Step 3: Cross multiply
    395,228.25x = 591,761.25 × 591,761.25
  4. Step 4: Simplify right side
    395,228.25x = 350,181,377,001.56
  5. Step 5: Solve for x
    x = 350,181,377,001.56/395,228.25
  6. Step 6: Final answer
    x = 886,023.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.