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Finding the Third Proportional to 684 and 873

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Solution

The third proportional to 684 and 873 is: 1,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 873 = 873 : x
  2. Step 2: Convert to fraction form
    684/873 = 873/x
  3. Step 3: Cross multiply
    684x = 873 × 873
  4. Step 4: Simplify right side
    684x = 762,129
  5. Step 5: Solve for x
    x = 762,129/684
  6. Step 6: Final answer
    x = 1,114.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.