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Finding the Third Proportional to 239,724 and 516,808.50

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Solution

The third proportional to 239,724 and 516,808.50 is: 1,114,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,724 : 516,808.50 = 516,808.50 : x
  2. Step 2: Convert to fraction form
    239,724/516,808.50 = 516,808.50/x
  3. Step 3: Cross multiply
    239,724x = 516,808.50 × 516,808.50
  4. Step 4: Simplify right side
    239,724x = 267,091,025,672.25
  5. Step 5: Solve for x
    x = 267,091,025,672.25/239,724
  6. Step 6: Final answer
    x = 1,114,160.56

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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.