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Finding the Third Proportional to 280 and 399.50

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Solution

The third proportional to 280 and 399.50 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 399.50 = 399.50 : x
  2. Step 2: Convert to fraction form
    280/399.50 = 399.50/x
  3. Step 3: Cross multiply
    280x = 399.50 × 399.50
  4. Step 4: Simplify right side
    280x = 159,600.25
  5. Step 5: Solve for x
    x = 159,600.25/280
  6. Step 6: Final answer
    x = 570.00

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