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Finding the Third Proportional to 461 and 640.50

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Solution

The third proportional to 461 and 640.50 is: 889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 640.50 = 640.50 : x
  2. Step 2: Convert to fraction form
    461/640.50 = 640.50/x
  3. Step 3: Cross multiply
    461x = 640.50 × 640.50
  4. Step 4: Simplify right side
    461x = 410,240.25
  5. Step 5: Solve for x
    x = 410,240.25/461
  6. Step 6: Final answer
    x = 889.89

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