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Finding the Third Proportional to 533.67 and 629.86

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Solution

The third proportional to 533.67 and 629.86 is: 743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.67 : 629.86 = 629.86 : x
  2. Step 2: Convert to fraction form
    533.67/629.86 = 629.86/x
  3. Step 3: Cross multiply
    533.67x = 629.86 × 629.86
  4. Step 4: Simplify right side
    533.67x = 396,722.83
  5. Step 5: Solve for x
    x = 396,722.83/533.67
  6. Step 6: Final answer
    x = 743.38

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.