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Finding the Third Proportional to 422,223.75 and 861,637.50

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Solution

The third proportional to 422,223.75 and 861,637.50 is: 1,758,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,223.75 : 861,637.50 = 861,637.50 : x
  2. Step 2: Convert to fraction form
    422,223.75/861,637.50 = 861,637.50/x
  3. Step 3: Cross multiply
    422,223.75x = 861,637.50 × 861,637.50
  4. Step 4: Simplify right side
    422,223.75x = 742,419,181,406.25
  5. Step 5: Solve for x
    x = 742,419,181,406.25/422,223.75
  6. Step 6: Final answer
    x = 1,758,354.86

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.