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Finding the Third Proportional to 884.75 and 1,327

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Solution

The third proportional to 884.75 and 1,327 is: 1,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.75 : 1,327 = 1,327 : x
  2. Step 2: Convert to fraction form
    884.75/1,327 = 1,327/x
  3. Step 3: Cross multiply
    884.75x = 1,327 × 1,327
  4. Step 4: Simplify right side
    884.75x = 1,760,929
  5. Step 5: Solve for x
    x = 1,760,929/884.75
  6. Step 6: Final answer
    x = 1,990.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.