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Finding the Third Proportional to 543,849 and 764,496

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Solution

The third proportional to 543,849 and 764,496 is: 1,074,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,849 : 764,496 = 764,496 : x
  2. Step 2: Convert to fraction form
    543,849/764,496 = 764,496/x
  3. Step 3: Cross multiply
    543,849x = 764,496 × 764,496
  4. Step 4: Simplify right side
    543,849x = 584,454,134,016
  5. Step 5: Solve for x
    x = 584,454,134,016/543,849
  6. Step 6: Final answer
    x = 1,074,662.51

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Why These Related Problems?

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