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Finding the Third Proportional to 389,530 and 582,744

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Solution

The third proportional to 389,530 and 582,744 is: 871,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,530 : 582,744 = 582,744 : x
  2. Step 2: Convert to fraction form
    389,530/582,744 = 582,744/x
  3. Step 3: Cross multiply
    389,530x = 582,744 × 582,744
  4. Step 4: Simplify right side
    389,530x = 339,590,569,536
  5. Step 5: Solve for x
    x = 339,590,569,536/389,530
  6. Step 6: Final answer
    x = 871,795.68

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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.