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Finding the Third Proportional to 383,338 and 836,295

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Solution

The third proportional to 383,338 and 836,295 is: 1,824,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,338 : 836,295 = 836,295 : x
  2. Step 2: Convert to fraction form
    383,338/836,295 = 836,295/x
  3. Step 3: Cross multiply
    383,338x = 836,295 × 836,295
  4. Step 4: Simplify right side
    383,338x = 699,389,327,025
  5. Step 5: Solve for x
    x = 699,389,327,025/383,338
  6. Step 6: Final answer
    x = 1,824,471.69

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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.