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Finding the Third Proportional to 327,208.50 and 471,273.75

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Solution

The third proportional to 327,208.50 and 471,273.75 is: 678,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,208.50 : 471,273.75 = 471,273.75 : x
  2. Step 2: Convert to fraction form
    327,208.50/471,273.75 = 471,273.75/x
  3. Step 3: Cross multiply
    327,208.50x = 471,273.75 × 471,273.75
  4. Step 4: Simplify right side
    327,208.50x = 222,098,947,439.06
  5. Step 5: Solve for x
    x = 222,098,947,439.06/327,208.50
  6. Step 6: Final answer
    x = 678,768.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.