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Finding the Third Proportional to 274,138.17 and 408,934.83

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Solution

The third proportional to 274,138.17 and 408,934.83 is: 610,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,138.17 : 408,934.83 = 408,934.83 : x
  2. Step 2: Convert to fraction form
    274,138.17/408,934.83 = 408,934.83/x
  3. Step 3: Cross multiply
    274,138.17x = 408,934.83 × 408,934.83
  4. Step 4: Simplify right side
    274,138.17x = 167,227,693,653.62
  5. Step 5: Solve for x
    x = 167,227,693,653.62/274,138.17
  6. Step 6: Final answer
    x = 610,012.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.