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Finding the Third Proportional to 327,268,072.50 and 706,451,286

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Solution

The third proportional to 327,268,072.50 and 706,451,286 is: 1,524,968,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,268,072.50 : 706,451,286 = 706,451,286 : x
  2. Step 2: Convert to fraction form
    327,268,072.50/706,451,286 = 706,451,286/x
  3. Step 3: Cross multiply
    327,268,072.50x = 706,451,286 × 706,451,286
  4. Step 4: Simplify right side
    327,268,072.50x = 499,073,419,491,053,824
  5. Step 5: Solve for x
    x = 499,073,419,491,053,824/327,268,072.50
  6. Step 6: Final answer
    x = 1,524,968,249.05

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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.