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Finding the Third Proportional to 384.91 and 836.26

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Solution

The third proportional to 384.91 and 836.26 is: 1,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.91 : 836.26 = 836.26 : x
  2. Step 2: Convert to fraction form
    384.91/836.26 = 836.26/x
  3. Step 3: Cross multiply
    384.91x = 836.26 × 836.26
  4. Step 4: Simplify right side
    384.91x = 699,333.66
  5. Step 5: Solve for x
    x = 699,333.66/384.91
  6. Step 6: Final answer
    x = 1,816.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.