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Finding the Third Proportional to 329 and 459.50

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Solution

The third proportional to 329 and 459.50 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 459.50 = 459.50 : x
  2. Step 2: Convert to fraction form
    329/459.50 = 459.50/x
  3. Step 3: Cross multiply
    329x = 459.50 × 459.50
  4. Step 4: Simplify right side
    329x = 211,140.25
  5. Step 5: Solve for x
    x = 211,140.25/329
  6. Step 6: Final answer
    x = 641.76

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