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Finding the Third Proportional to 544.21 and 817.52

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Solution

The third proportional to 544.21 and 817.52 is: 1,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.21 : 817.52 = 817.52 : x
  2. Step 2: Convert to fraction form
    544.21/817.52 = 817.52/x
  3. Step 3: Cross multiply
    544.21x = 817.52 × 817.52
  4. Step 4: Simplify right side
    544.21x = 668,342.33
  5. Step 5: Solve for x
    x = 668,342.33/544.21
  6. Step 6: Final answer
    x = 1,228.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.