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Finding the Third Proportional to 416,494.50 and 892,039.50

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Solution

The third proportional to 416,494.50 and 892,039.50 is: 1,910,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,494.50 : 892,039.50 = 892,039.50 : x
  2. Step 2: Convert to fraction form
    416,494.50/892,039.50 = 892,039.50/x
  3. Step 3: Cross multiply
    416,494.50x = 892,039.50 × 892,039.50
  4. Step 4: Simplify right side
    416,494.50x = 795,734,469,560.25
  5. Step 5: Solve for x
    x = 795,734,469,560.25/416,494.50
  6. Step 6: Final answer
    x = 1,910,552.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.