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Finding the Third Proportional to 327.50 and 816.50

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Solution

The third proportional to 327.50 and 816.50 is: 2,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.50 : 816.50 = 816.50 : x
  2. Step 2: Convert to fraction form
    327.50/816.50 = 816.50/x
  3. Step 3: Cross multiply
    327.50x = 816.50 × 816.50
  4. Step 4: Simplify right side
    327.50x = 666,672.25
  5. Step 5: Solve for x
    x = 666,672.25/327.50
  6. Step 6: Final answer
    x = 2,035.64

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.