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Finding the Third Proportional to 389,517 and 582,719

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Solution

The third proportional to 389,517 and 582,719 is: 871,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,517 : 582,719 = 582,719 : x
  2. Step 2: Convert to fraction form
    389,517/582,719 = 582,719/x
  3. Step 3: Cross multiply
    389,517x = 582,719 × 582,719
  4. Step 4: Simplify right side
    389,517x = 339,561,432,961
  5. Step 5: Solve for x
    x = 339,561,432,961/389,517
  6. Step 6: Final answer
    x = 871,749.97

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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.