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Finding the Third Proportional to 286 and 455.75

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Solution

The third proportional to 286 and 455.75 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 455.75 = 455.75 : x
  2. Step 2: Convert to fraction form
    286/455.75 = 455.75/x
  3. Step 3: Cross multiply
    286x = 455.75 × 455.75
  4. Step 4: Simplify right side
    286x = 207,708.06
  5. Step 5: Solve for x
    x = 207,708.06/286
  6. Step 6: Final answer
    x = 726.25

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