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Finding the Third Proportional to 363.66 and 849.66

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Solution

The third proportional to 363.66 and 849.66 is: 1,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.66 : 849.66 = 849.66 : x
  2. Step 2: Convert to fraction form
    363.66/849.66 = 849.66/x
  3. Step 3: Cross multiply
    363.66x = 849.66 × 849.66
  4. Step 4: Simplify right side
    363.66x = 721,915.74
  5. Step 5: Solve for x
    x = 721,915.74/363.66
  6. Step 6: Final answer
    x = 1,985.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.