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Finding the Third Proportional to 635.34 and 1,369.41

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Solution

The third proportional to 635.34 and 1,369.41 is: 2,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 1,369.41 = 1,369.41 : x
  2. Step 2: Convert to fraction form
    635.34/1,369.41 = 1,369.41/x
  3. Step 3: Cross multiply
    635.34x = 1,369.41 × 1,369.41
  4. Step 4: Simplify right side
    635.34x = 1,875,273.48
  5. Step 5: Solve for x
    x = 1,875,273.48/635.34
  6. Step 6: Final answer
    x = 2,951.59

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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.