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Finding the Third Proportional to 378,186.75 and 819,375.75

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Solution

The third proportional to 378,186.75 and 819,375.75 is: 1,775,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,186.75 : 819,375.75 = 819,375.75 : x
  2. Step 2: Convert to fraction form
    378,186.75/819,375.75 = 819,375.75/x
  3. Step 3: Cross multiply
    378,186.75x = 819,375.75 × 819,375.75
  4. Step 4: Simplify right side
    378,186.75x = 671,376,619,688.06
  5. Step 5: Solve for x
    x = 671,376,619,688.06/378,186.75
  6. Step 6: Final answer
    x = 1,775,251.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.