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Finding the Third Proportional to 389,559.38 and 582,789.94

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Solution

The third proportional to 389,559.38 and 582,789.94 is: 871,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,559.38 : 582,789.94 = 582,789.94 : x
  2. Step 2: Convert to fraction form
    389,559.38/582,789.94 = 582,789.94/x
  3. Step 3: Cross multiply
    389,559.38x = 582,789.94 × 582,789.94
  4. Step 4: Simplify right side
    389,559.38x = 339,644,111,251.25
  5. Step 5: Solve for x
    x = 339,644,111,251.25/389,559.38
  6. Step 6: Final answer
    x = 871,867.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.