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Finding the Third Proportional to 656 and 918.75

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Solution

The third proportional to 656 and 918.75 is: 1,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656 : 918.75 = 918.75 : x
  2. Step 2: Convert to fraction form
    656/918.75 = 918.75/x
  3. Step 3: Cross multiply
    656x = 918.75 × 918.75
  4. Step 4: Simplify right side
    656x = 844,101.56
  5. Step 5: Solve for x
    x = 844,101.56/656
  6. Step 6: Final answer
    x = 1,286.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.