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Finding the Third Proportional to 407,787.75 and 844,249.50

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Solution

The third proportional to 407,787.75 and 844,249.50 is: 1,747,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,787.75 : 844,249.50 = 844,249.50 : x
  2. Step 2: Convert to fraction form
    407,787.75/844,249.50 = 844,249.50/x
  3. Step 3: Cross multiply
    407,787.75x = 844,249.50 × 844,249.50
  4. Step 4: Simplify right side
    407,787.75x = 712,757,218,250.25
  5. Step 5: Solve for x
    x = 712,757,218,250.25/407,787.75
  6. Step 6: Final answer
    x = 1,747,863.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.