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Finding the Third Proportional to 820.13 and 1,227.38

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Solution

The third proportional to 820.13 and 1,227.38 is: 1,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,227.38 = 1,227.38 : x
  2. Step 2: Convert to fraction form
    820.13/1,227.38 = 1,227.38/x
  3. Step 3: Cross multiply
    820.13x = 1,227.38 × 1,227.38
  4. Step 4: Simplify right side
    820.13x = 1,506,449.39
  5. Step 5: Solve for x
    x = 1,506,449.39/820.13
  6. Step 6: Final answer
    x = 1,836.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.