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Finding the Third Proportional to 533.63 and 811.41

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Solution

The third proportional to 533.63 and 811.41 is: 1,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.63 : 811.41 = 811.41 : x
  2. Step 2: Convert to fraction form
    533.63/811.41 = 811.41/x
  3. Step 3: Cross multiply
    533.63x = 811.41 × 811.41
  4. Step 4: Simplify right side
    533.63x = 658,380.10
  5. Step 5: Solve for x
    x = 658,380.10/533.63
  6. Step 6: Final answer
    x = 1,233.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.