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Finding the Third Proportional to 639.14 and 1,342.83

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Solution

The third proportional to 639.14 and 1,342.83 is: 2,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.14 : 1,342.83 = 1,342.83 : x
  2. Step 2: Convert to fraction form
    639.14/1,342.83 = 1,342.83/x
  3. Step 3: Cross multiply
    639.14x = 1,342.83 × 1,342.83
  4. Step 4: Simplify right side
    639.14x = 1,803,187.37
  5. Step 5: Solve for x
    x = 1,803,187.37/639.14
  6. Step 6: Final answer
    x = 2,821.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.