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Finding the Third Proportional to 794.53 and 1,233.14

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Solution

The third proportional to 794.53 and 1,233.14 is: 1,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.53 : 1,233.14 = 1,233.14 : x
  2. Step 2: Convert to fraction form
    794.53/1,233.14 = 1,233.14/x
  3. Step 3: Cross multiply
    794.53x = 1,233.14 × 1,233.14
  4. Step 4: Simplify right side
    794.53x = 1,520,635.80
  5. Step 5: Solve for x
    x = 1,520,635.80/794.53
  6. Step 6: Final answer
    x = 1,913.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.