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Finding the Third Proportional to 541,974.75 and 1,180,464.75

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Solution

The third proportional to 541,974.75 and 1,180,464.75 is: 2,571,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,974.75 : 1,180,464.75 = 1,180,464.75 : x
  2. Step 2: Convert to fraction form
    541,974.75/1,180,464.75 = 1,180,464.75/x
  3. Step 3: Cross multiply
    541,974.75x = 1,180,464.75 × 1,180,464.75
  4. Step 4: Simplify right side
    541,974.75x = 1,393,497,025,992.56
  5. Step 5: Solve for x
    x = 1,393,497,025,992.56/541,974.75
  6. Step 6: Final answer
    x = 2,571,147.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.