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Finding the Third Proportional to 884.88 and 1,301.44

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Solution

The third proportional to 884.88 and 1,301.44 is: 1,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.88 : 1,301.44 = 1,301.44 : x
  2. Step 2: Convert to fraction form
    884.88/1,301.44 = 1,301.44/x
  3. Step 3: Cross multiply
    884.88x = 1,301.44 × 1,301.44
  4. Step 4: Simplify right side
    884.88x = 1,693,739.57
  5. Step 5: Solve for x
    x = 1,693,739.57/884.88
  6. Step 6: Final answer
    x = 1,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.