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Finding the Third Proportional to 363.87 and 778.99

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Solution

The third proportional to 363.87 and 778.99 is: 1,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.87 : 778.99 = 778.99 : x
  2. Step 2: Convert to fraction form
    363.87/778.99 = 778.99/x
  3. Step 3: Cross multiply
    363.87x = 778.99 × 778.99
  4. Step 4: Simplify right side
    363.87x = 606,828.83
  5. Step 5: Solve for x
    x = 606,828.83/363.87
  6. Step 6: Final answer
    x = 1,667.72

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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.