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Finding the Third Proportional to 239,721.25 and 516,803.75

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Solution

The third proportional to 239,721.25 and 516,803.75 is: 1,114,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,721.25 : 516,803.75 = 516,803.75 : x
  2. Step 2: Convert to fraction form
    239,721.25/516,803.75 = 516,803.75/x
  3. Step 3: Cross multiply
    239,721.25x = 516,803.75 × 516,803.75
  4. Step 4: Simplify right side
    239,721.25x = 267,086,116,014.06
  5. Step 5: Solve for x
    x = 267,086,116,014.06/239,721.25
  6. Step 6: Final answer
    x = 1,114,152.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.