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Finding the Third Proportional to 402.38 and 836.63

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Solution

The third proportional to 402.38 and 836.63 is: 1,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.38 : 836.63 = 836.63 : x
  2. Step 2: Convert to fraction form
    402.38/836.63 = 836.63/x
  3. Step 3: Cross multiply
    402.38x = 836.63 × 836.63
  4. Step 4: Simplify right side
    402.38x = 699,941.39
  5. Step 5: Solve for x
    x = 699,941.39/402.38
  6. Step 6: Final answer
    x = 1,739.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.