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Finding the Third Proportional to 682.38 and 1,385

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Solution

The third proportional to 682.38 and 1,385 is: 2,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,385 = 1,385 : x
  2. Step 2: Convert to fraction form
    682.38/1,385 = 1,385/x
  3. Step 3: Cross multiply
    682.38x = 1,385 × 1,385
  4. Step 4: Simplify right side
    682.38x = 1,918,225
  5. Step 5: Solve for x
    x = 1,918,225/682.38
  6. Step 6: Final answer
    x = 2,811.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.