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Finding the Third Proportional to 422,237.81 and 654,778.69

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Solution

The third proportional to 422,237.81 and 654,778.69 is: 1,015,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,237.81 : 654,778.69 = 654,778.69 : x
  2. Step 2: Convert to fraction form
    422,237.81/654,778.69 = 654,778.69/x
  3. Step 3: Cross multiply
    422,237.81x = 654,778.69 × 654,778.69
  4. Step 4: Simplify right side
    422,237.81x = 428,735,129,604.22
  5. Step 5: Solve for x
    x = 428,735,129,604.22/422,237.81
  6. Step 6: Final answer
    x = 1,015,387.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.