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Finding the Third Proportional to 543,916 and 764,601

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Solution

The third proportional to 543,916 and 764,601 is: 1,074,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,916 : 764,601 = 764,601 : x
  2. Step 2: Convert to fraction form
    543,916/764,601 = 764,601/x
  3. Step 3: Cross multiply
    543,916x = 764,601 × 764,601
  4. Step 4: Simplify right side
    543,916x = 584,614,689,201
  5. Step 5: Solve for x
    x = 584,614,689,201/543,916
  6. Step 6: Final answer
    x = 1,074,825.32

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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.