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Finding the Third Proportional to 639.14 and 1,418.45

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Solution

The third proportional to 639.14 and 1,418.45 is: 3,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.14 : 1,418.45 = 1,418.45 : x
  2. Step 2: Convert to fraction form
    639.14/1,418.45 = 1,418.45/x
  3. Step 3: Cross multiply
    639.14x = 1,418.45 × 1,418.45
  4. Step 4: Simplify right side
    639.14x = 2,011,998.19
  5. Step 5: Solve for x
    x = 2,011,998.19/639.14
  6. Step 6: Final answer
    x = 3,147.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.