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Finding the Third Proportional to 533.06 and 808.69

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Solution

The third proportional to 533.06 and 808.69 is: 1,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.06 : 808.69 = 808.69 : x
  2. Step 2: Convert to fraction form
    533.06/808.69 = 808.69/x
  3. Step 3: Cross multiply
    533.06x = 808.69 × 808.69
  4. Step 4: Simplify right side
    533.06x = 653,975.47
  5. Step 5: Solve for x
    x = 653,975.47/533.06
  6. Step 6: Final answer
    x = 1,226.83

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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.