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Finding the Third Proportional to 384.66 and 836.53

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Solution

The third proportional to 384.66 and 836.53 is: 1,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.66 : 836.53 = 836.53 : x
  2. Step 2: Convert to fraction form
    384.66/836.53 = 836.53/x
  3. Step 3: Cross multiply
    384.66x = 836.53 × 836.53
  4. Step 4: Simplify right side
    384.66x = 699,784.53
  5. Step 5: Solve for x
    x = 699,784.53/384.66
  6. Step 6: Final answer
    x = 1,819.25

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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.