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Finding the Third Proportional to 734.50 and 976.75

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Solution

The third proportional to 734.50 and 976.75 is: 1,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.50 : 976.75 = 976.75 : x
  2. Step 2: Convert to fraction form
    734.50/976.75 = 976.75/x
  3. Step 3: Cross multiply
    734.50x = 976.75 × 976.75
  4. Step 4: Simplify right side
    734.50x = 954,040.56
  5. Step 5: Solve for x
    x = 954,040.56/734.50
  6. Step 6: Final answer
    x = 1,298.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.