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Finding the Third Proportional to 272,022.75 and 408,717.75

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Solution

The third proportional to 272,022.75 and 408,717.75 is: 614,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,022.75 : 408,717.75 = 408,717.75 : x
  2. Step 2: Convert to fraction form
    272,022.75/408,717.75 = 408,717.75/x
  3. Step 3: Cross multiply
    272,022.75x = 408,717.75 × 408,717.75
  4. Step 4: Simplify right side
    272,022.75x = 167,050,199,165.06
  5. Step 5: Solve for x
    x = 167,050,199,165.06/272,022.75
  6. Step 6: Final answer
    x = 614,103.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.