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Finding the Third Proportional to 381,975 and 809,484

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Solution

The third proportional to 381,975 and 809,484 is: 1,715,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,975 : 809,484 = 809,484 : x
  2. Step 2: Convert to fraction form
    381,975/809,484 = 809,484/x
  3. Step 3: Cross multiply
    381,975x = 809,484 × 809,484
  4. Step 4: Simplify right side
    381,975x = 655,264,346,256
  5. Step 5: Solve for x
    x = 655,264,346,256/381,975
  6. Step 6: Final answer
    x = 1,715,463.96

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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.