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Finding the Third Proportional to 286.38 and 618.88

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Solution

The third proportional to 286.38 and 618.88 is: 1,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.38 : 618.88 = 618.88 : x
  2. Step 2: Convert to fraction form
    286.38/618.88 = 618.88/x
  3. Step 3: Cross multiply
    286.38x = 618.88 × 618.88
  4. Step 4: Simplify right side
    286.38x = 383,006.27
  5. Step 5: Solve for x
    x = 383,006.27/286.38
  6. Step 6: Final answer
    x = 1,337.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.