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Finding the Third Proportional to 411.75 and 849.66

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Solution

The third proportional to 411.75 and 849.66 is: 1,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 849.66 = 849.66 : x
  2. Step 2: Convert to fraction form
    411.75/849.66 = 849.66/x
  3. Step 3: Cross multiply
    411.75x = 849.66 × 849.66
  4. Step 4: Simplify right side
    411.75x = 721,915.74
  5. Step 5: Solve for x
    x = 721,915.74/411.75
  6. Step 6: Final answer
    x = 1,753.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.