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Finding the Third Proportional to 399.50 and 533.13

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Solution

The third proportional to 399.50 and 533.13 is: 711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.50 : 533.13 = 533.13 : x
  2. Step 2: Convert to fraction form
    399.50/533.13 = 533.13/x
  3. Step 3: Cross multiply
    399.50x = 533.13 × 533.13
  4. Step 4: Simplify right side
    399.50x = 284,222.27
  5. Step 5: Solve for x
    x = 284,222.27/399.50
  6. Step 6: Final answer
    x = 711.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.