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Finding the Third Proportional to 422,912.25 and 647,763.75

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Solution

The third proportional to 422,912.25 and 647,763.75 is: 992,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,912.25 : 647,763.75 = 647,763.75 : x
  2. Step 2: Convert to fraction form
    422,912.25/647,763.75 = 647,763.75/x
  3. Step 3: Cross multiply
    422,912.25x = 647,763.75 × 647,763.75
  4. Step 4: Simplify right side
    422,912.25x = 419,597,875,814.06
  5. Step 5: Solve for x
    x = 419,597,875,814.06/422,912.25
  6. Step 6: Final answer
    x = 992,162.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.