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Finding the Third Proportional to 283 and 487.75

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Solution

The third proportional to 283 and 487.75 is: 840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283 : 487.75 = 487.75 : x
  2. Step 2: Convert to fraction form
    283/487.75 = 487.75/x
  3. Step 3: Cross multiply
    283x = 487.75 × 487.75
  4. Step 4: Simplify right side
    283x = 237,900.06
  5. Step 5: Solve for x
    x = 237,900.06/283
  6. Step 6: Final answer
    x = 840.64

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