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Finding the Third Proportional to 696.75 and 974.25

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Solution

The third proportional to 696.75 and 974.25 is: 1,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 974.25 = 974.25 : x
  2. Step 2: Convert to fraction form
    696.75/974.25 = 974.25/x
  3. Step 3: Cross multiply
    696.75x = 974.25 × 974.25
  4. Step 4: Simplify right side
    696.75x = 949,163.06
  5. Step 5: Solve for x
    x = 949,163.06/696.75
  6. Step 6: Final answer
    x = 1,362.27

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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.