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Finding the Third Proportional to 239,722.50 and 516,806

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Solution

The third proportional to 239,722.50 and 516,806 is: 1,114,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,722.50 : 516,806 = 516,806 : x
  2. Step 2: Convert to fraction form
    239,722.50/516,806 = 516,806/x
  3. Step 3: Cross multiply
    239,722.50x = 516,806 × 516,806
  4. Step 4: Simplify right side
    239,722.50x = 267,088,441,636
  5. Step 5: Solve for x
    x = 267,088,441,636/239,722.50
  6. Step 6: Final answer
    x = 1,114,156.75

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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.