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Finding the Third Proportional to 378,672.38 and 582,003.75

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Solution

The third proportional to 378,672.38 and 582,003.75 is: 894,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,672.38 : 582,003.75 = 582,003.75 : x
  2. Step 2: Convert to fraction form
    378,672.38/582,003.75 = 582,003.75/x
  3. Step 3: Cross multiply
    378,672.38x = 582,003.75 × 582,003.75
  4. Step 4: Simplify right side
    378,672.38x = 338,728,365,014.06
  5. Step 5: Solve for x
    x = 338,728,365,014.06/378,672.38
  6. Step 6: Final answer
    x = 894,515.65

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.