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Finding the Third Proportional to 270,150.50 and 582,198

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Solution

The third proportional to 270,150.50 and 582,198 is: 1,254,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,150.50 : 582,198 = 582,198 : x
  2. Step 2: Convert to fraction form
    270,150.50/582,198 = 582,198/x
  3. Step 3: Cross multiply
    270,150.50x = 582,198 × 582,198
  4. Step 4: Simplify right side
    270,150.50x = 338,954,511,204
  5. Step 5: Solve for x
    x = 338,954,511,204/270,150.50
  6. Step 6: Final answer
    x = 1,254,687.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.