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Finding the Third Proportional to 773.44 and 1,029.09

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Solution

The third proportional to 773.44 and 1,029.09 is: 1,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.44 : 1,029.09 = 1,029.09 : x
  2. Step 2: Convert to fraction form
    773.44/1,029.09 = 1,029.09/x
  3. Step 3: Cross multiply
    773.44x = 1,029.09 × 1,029.09
  4. Step 4: Simplify right side
    773.44x = 1,059,033.95
  5. Step 5: Solve for x
    x = 1,059,033.95/773.44
  6. Step 6: Final answer
    x = 1,369.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.