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Finding the Third Proportional to 383,494 and 836,204

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Solution

The third proportional to 383,494 and 836,204 is: 1,823,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,494 : 836,204 = 836,204 : x
  2. Step 2: Convert to fraction form
    383,494/836,204 = 836,204/x
  3. Step 3: Cross multiply
    383,494x = 836,204 × 836,204
  4. Step 4: Simplify right side
    383,494x = 699,237,129,616
  5. Step 5: Solve for x
    x = 699,237,129,616/383,494
  6. Step 6: Final answer
    x = 1,823,332.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.