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Finding the Third Proportional to 408,179.25 and 861,738.75

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Solution

The third proportional to 408,179.25 and 861,738.75 is: 1,819,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,179.25 : 861,738.75 = 861,738.75 : x
  2. Step 2: Convert to fraction form
    408,179.25/861,738.75 = 861,738.75/x
  3. Step 3: Cross multiply
    408,179.25x = 861,738.75 × 861,738.75
  4. Step 4: Simplify right side
    408,179.25x = 742,593,673,251.56
  5. Step 5: Solve for x
    x = 742,593,673,251.56/408,179.25
  6. Step 6: Final answer
    x = 1,819,283.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.