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Finding the Third Proportional to 363.87 and 785.32

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Solution

The third proportional to 363.87 and 785.32 is: 1,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.87 : 785.32 = 785.32 : x
  2. Step 2: Convert to fraction form
    363.87/785.32 = 785.32/x
  3. Step 3: Cross multiply
    363.87x = 785.32 × 785.32
  4. Step 4: Simplify right side
    363.87x = 616,727.99
  5. Step 5: Solve for x
    x = 616,727.99/363.87
  6. Step 6: Final answer
    x = 1,694.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.