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Finding the Third Proportional to 335 and 382

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Solution

The third proportional to 335 and 382 is: 435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335 : 382 = 382 : x
  2. Step 2: Convert to fraction form
    335/382 = 382/x
  3. Step 3: Cross multiply
    335x = 382 × 382
  4. Step 4: Simplify right side
    335x = 145,924
  5. Step 5: Solve for x
    x = 145,924/335
  6. Step 6: Final answer
    x = 435.59

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