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Finding the Third Proportional to 367,049 and 543,751

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Solution

The third proportional to 367,049 and 543,751 is: 805,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,049 : 543,751 = 543,751 : x
  2. Step 2: Convert to fraction form
    367,049/543,751 = 543,751/x
  3. Step 3: Cross multiply
    367,049x = 543,751 × 543,751
  4. Step 4: Simplify right side
    367,049x = 295,665,150,001
  5. Step 5: Solve for x
    x = 295,665,150,001/367,049
  6. Step 6: Final answer
    x = 805,519.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.