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Finding the Third Proportional to 543,844.50 and 764,493

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Solution

The third proportional to 543,844.50 and 764,493 is: 1,074,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,844.50 : 764,493 = 764,493 : x
  2. Step 2: Convert to fraction form
    543,844.50/764,493 = 764,493/x
  3. Step 3: Cross multiply
    543,844.50x = 764,493 × 764,493
  4. Step 4: Simplify right side
    543,844.50x = 584,449,547,049
  5. Step 5: Solve for x
    x = 584,449,547,049/543,844.50
  6. Step 6: Final answer
    x = 1,074,662.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.