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Finding the Third Proportional to 237,978 and 519,366

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Solution

The third proportional to 237,978 and 519,366 is: 1,133,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,978 : 519,366 = 519,366 : x
  2. Step 2: Convert to fraction form
    237,978/519,366 = 519,366/x
  3. Step 3: Cross multiply
    237,978x = 519,366 × 519,366
  4. Step 4: Simplify right side
    237,978x = 269,741,041,956
  5. Step 5: Solve for x
    x = 269,741,041,956/237,978
  6. Step 6: Final answer
    x = 1,133,470.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.