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Finding the Third Proportional to 635.06 and 1,029.09

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Solution

The third proportional to 635.06 and 1,029.09 is: 1,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.06 : 1,029.09 = 1,029.09 : x
  2. Step 2: Convert to fraction form
    635.06/1,029.09 = 1,029.09/x
  3. Step 3: Cross multiply
    635.06x = 1,029.09 × 1,029.09
  4. Step 4: Simplify right side
    635.06x = 1,059,033.95
  5. Step 5: Solve for x
    x = 1,059,033.95/635.06
  6. Step 6: Final answer
    x = 1,667.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.