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Finding the Third Proportional to 363.50 and 798.50

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Solution

The third proportional to 363.50 and 798.50 is: 1,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 798.50 = 798.50 : x
  2. Step 2: Convert to fraction form
    363.50/798.50 = 798.50/x
  3. Step 3: Cross multiply
    363.50x = 798.50 × 798.50
  4. Step 4: Simplify right side
    363.50x = 637,602.25
  5. Step 5: Solve for x
    x = 637,602.25/363.50
  6. Step 6: Final answer
    x = 1,754.06

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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.