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Finding the Third Proportional to 363.66 and 784.96

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Solution

The third proportional to 363.66 and 784.96 is: 1,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.66 : 784.96 = 784.96 : x
  2. Step 2: Convert to fraction form
    363.66/784.96 = 784.96/x
  3. Step 3: Cross multiply
    363.66x = 784.96 × 784.96
  4. Step 4: Simplify right side
    363.66x = 616,169.04
  5. Step 5: Solve for x
    x = 616,169.04/363.66
  6. Step 6: Final answer
    x = 1,694.35

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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.