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Finding the Third Proportional to 426.38 and 1,013.13

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Solution

The third proportional to 426.38 and 1,013.13 is: 2,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.38 : 1,013.13 = 1,013.13 : x
  2. Step 2: Convert to fraction form
    426.38/1,013.13 = 1,013.13/x
  3. Step 3: Cross multiply
    426.38x = 1,013.13 × 1,013.13
  4. Step 4: Simplify right side
    426.38x = 1,026,422.27
  5. Step 5: Solve for x
    x = 1,026,422.27/426.38
  6. Step 6: Final answer
    x = 2,407.32

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.