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Finding the Third Proportional to 336,736 and 522,812

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Solution

The third proportional to 336,736 and 522,812 is: 811,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,736 : 522,812 = 522,812 : x
  2. Step 2: Convert to fraction form
    336,736/522,812 = 522,812/x
  3. Step 3: Cross multiply
    336,736x = 522,812 × 522,812
  4. Step 4: Simplify right side
    336,736x = 273,332,387,344
  5. Step 5: Solve for x
    x = 273,332,387,344/336,736
  6. Step 6: Final answer
    x = 811,711.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.