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Finding the Third Proportional to 381,984 and 809,502

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Solution

The third proportional to 381,984 and 809,502 is: 1,715,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,984 : 809,502 = 809,502 : x
  2. Step 2: Convert to fraction form
    381,984/809,502 = 809,502/x
  3. Step 3: Cross multiply
    381,984x = 809,502 × 809,502
  4. Step 4: Simplify right side
    381,984x = 655,293,488,004
  5. Step 5: Solve for x
    x = 655,293,488,004/381,984
  6. Step 6: Final answer
    x = 1,715,499.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.