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Finding the Third Proportional to 868.54 and 1,314.83

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Solution

The third proportional to 868.54 and 1,314.83 is: 1,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.54 : 1,314.83 = 1,314.83 : x
  2. Step 2: Convert to fraction form
    868.54/1,314.83 = 1,314.83/x
  3. Step 3: Cross multiply
    868.54x = 1,314.83 × 1,314.83
  4. Step 4: Simplify right side
    868.54x = 1,728,767.86
  5. Step 5: Solve for x
    x = 1,728,767.86/868.54
  6. Step 6: Final answer
    x = 1,990.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.