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Finding the Third Proportional to 602.44 and 849.09

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Solution

The third proportional to 602.44 and 849.09 is: 1,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.44 : 849.09 = 849.09 : x
  2. Step 2: Convert to fraction form
    602.44/849.09 = 849.09/x
  3. Step 3: Cross multiply
    602.44x = 849.09 × 849.09
  4. Step 4: Simplify right side
    602.44x = 720,960.20
  5. Step 5: Solve for x
    x = 720,960.20/602.44
  6. Step 6: Final answer
    x = 1,196.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.