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Finding the Third Proportional to 656.25 and 867

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Solution

The third proportional to 656.25 and 867 is: 1,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 867 = 867 : x
  2. Step 2: Convert to fraction form
    656.25/867 = 867/x
  3. Step 3: Cross multiply
    656.25x = 867 × 867
  4. Step 4: Simplify right side
    656.25x = 751,689
  5. Step 5: Solve for x
    x = 751,689/656.25
  6. Step 6: Final answer
    x = 1,145.43

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.