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Finding the Third Proportional to 976.25 and 2,404.75

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Solution

The third proportional to 976.25 and 2,404.75 is: 5,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.25 : 2,404.75 = 2,404.75 : x
  2. Step 2: Convert to fraction form
    976.25/2,404.75 = 2,404.75/x
  3. Step 3: Cross multiply
    976.25x = 2,404.75 × 2,404.75
  4. Step 4: Simplify right side
    976.25x = 5,782,822.56
  5. Step 5: Solve for x
    x = 5,782,822.56/976.25
  6. Step 6: Final answer
    x = 5,923.51

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.