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Finding the Third Proportional to 362.95 and 793.83

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Solution

The third proportional to 362.95 and 793.83 is: 1,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.95 : 793.83 = 793.83 : x
  2. Step 2: Convert to fraction form
    362.95/793.83 = 793.83/x
  3. Step 3: Cross multiply
    362.95x = 793.83 × 793.83
  4. Step 4: Simplify right side
    362.95x = 630,163.09
  5. Step 5: Solve for x
    x = 630,163.09/362.95
  6. Step 6: Final answer
    x = 1,736.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.