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Finding the Third Proportional to 327,863 and 772,850.50

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Solution

The third proportional to 327,863 and 772,850.50 is: 1,821,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,863 : 772,850.50 = 772,850.50 : x
  2. Step 2: Convert to fraction form
    327,863/772,850.50 = 772,850.50/x
  3. Step 3: Cross multiply
    327,863x = 772,850.50 × 772,850.50
  4. Step 4: Simplify right side
    327,863x = 597,297,895,350.25
  5. Step 5: Solve for x
    x = 597,297,895,350.25/327,863
  6. Step 6: Final answer
    x = 1,821,791.10

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.