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Finding the Third Proportional to 613,716.75 and 825,545.25

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Solution

The third proportional to 613,716.75 and 825,545.25 is: 1,110,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,716.75 : 825,545.25 = 825,545.25 : x
  2. Step 2: Convert to fraction form
    613,716.75/825,545.25 = 825,545.25/x
  3. Step 3: Cross multiply
    613,716.75x = 825,545.25 × 825,545.25
  4. Step 4: Simplify right side
    613,716.75x = 681,524,959,797.56
  5. Step 5: Solve for x
    x = 681,524,959,797.56/613,716.75
  6. Step 6: Final answer
    x = 1,110,487.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.