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Finding the Third Proportional to 404.72 and 866.87

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Solution

The third proportional to 404.72 and 866.87 is: 1,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.72 : 866.87 = 866.87 : x
  2. Step 2: Convert to fraction form
    404.72/866.87 = 866.87/x
  3. Step 3: Cross multiply
    404.72x = 866.87 × 866.87
  4. Step 4: Simplify right side
    404.72x = 751,470.57
  5. Step 5: Solve for x
    x = 751,470.57/404.72
  6. Step 6: Final answer
    x = 1,856.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.