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Finding the Third Proportional to 363.63 and 798.38

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Solution

The third proportional to 363.63 and 798.38 is: 1,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.63 : 798.38 = 798.38 : x
  2. Step 2: Convert to fraction form
    363.63/798.38 = 798.38/x
  3. Step 3: Cross multiply
    363.63x = 798.38 × 798.38
  4. Step 4: Simplify right side
    363.63x = 637,402.64
  5. Step 5: Solve for x
    x = 637,402.64/363.63
  6. Step 6: Final answer
    x = 1,752.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.