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Finding the Third Proportional to 422,177.88 and 861,568.25

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Solution

The third proportional to 422,177.88 and 861,568.25 is: 1,758,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,177.88 : 861,568.25 = 861,568.25 : x
  2. Step 2: Convert to fraction form
    422,177.88/861,568.25 = 861,568.25/x
  3. Step 3: Cross multiply
    422,177.88x = 861,568.25 × 861,568.25
  4. Step 4: Simplify right side
    422,177.88x = 742,299,849,408.06
  5. Step 5: Solve for x
    x = 742,299,849,408.06/422,177.88
  6. Step 6: Final answer
    x = 1,758,263.27

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Why These Related Problems?

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