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Finding the Third Proportional to 591,419.25 and 886,144.75

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Solution

The third proportional to 591,419.25 and 886,144.75 is: 1,327,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,419.25 : 886,144.75 = 886,144.75 : x
  2. Step 2: Convert to fraction form
    591,419.25/886,144.75 = 886,144.75/x
  3. Step 3: Cross multiply
    591,419.25x = 886,144.75 × 886,144.75
  4. Step 4: Simplify right side
    591,419.25x = 785,252,517,952.56
  5. Step 5: Solve for x
    x = 785,252,517,952.56/591,419.25
  6. Step 6: Final answer
    x = 1,327,742.58

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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.