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Finding the Third Proportional to 381,082 and 804,932

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Solution

The third proportional to 381,082 and 804,932 is: 1,700,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,082 : 804,932 = 804,932 : x
  2. Step 2: Convert to fraction form
    381,082/804,932 = 804,932/x
  3. Step 3: Cross multiply
    381,082x = 804,932 × 804,932
  4. Step 4: Simplify right side
    381,082x = 647,915,524,624
  5. Step 5: Solve for x
    x = 647,915,524,624/381,082
  6. Step 6: Final answer
    x = 1,700,199.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.