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Finding the Third Proportional to 634.92 and 1,377.42

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Solution

The third proportional to 634.92 and 1,377.42 is: 2,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 1,377.42 = 1,377.42 : x
  2. Step 2: Convert to fraction form
    634.92/1,377.42 = 1,377.42/x
  3. Step 3: Cross multiply
    634.92x = 1,377.42 × 1,377.42
  4. Step 4: Simplify right side
    634.92x = 1,897,291.02
  5. Step 5: Solve for x
    x = 1,897,291.02/634.92
  6. Step 6: Final answer
    x = 2,988.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.