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Finding the Third Proportional to 365 and 796

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Solution

The third proportional to 365 and 796 is: 1,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 796 = 796 : x
  2. Step 2: Convert to fraction form
    365/796 = 796/x
  3. Step 3: Cross multiply
    365x = 796 × 796
  4. Step 4: Simplify right side
    365x = 633,616
  5. Step 5: Solve for x
    x = 633,616/365
  6. Step 6: Final answer
    x = 1,735.93

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