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Finding the Third Proportional to 456 and 867

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Solution

The third proportional to 456 and 867 is: 1,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 867 = 867 : x
  2. Step 2: Convert to fraction form
    456/867 = 867/x
  3. Step 3: Cross multiply
    456x = 867 × 867
  4. Step 4: Simplify right side
    456x = 751,689
  5. Step 5: Solve for x
    x = 751,689/456
  6. Step 6: Final answer
    x = 1,648.44

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.