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Finding the Third Proportional to 408,138.75 and 613,774.13

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Solution

The third proportional to 408,138.75 and 613,774.13 is: 923,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,138.75 : 613,774.13 = 613,774.13 : x
  2. Step 2: Convert to fraction form
    408,138.75/613,774.13 = 613,774.13/x
  3. Step 3: Cross multiply
    408,138.75x = 613,774.13 × 613,774.13
  4. Step 4: Simplify right side
    408,138.75x = 376,718,676,519.52
  5. Step 5: Solve for x
    x = 376,718,676,519.52/408,138.75
  6. Step 6: Final answer
    x = 923,016.20

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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.