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Finding the Third Proportional to 544.50 and 733.25

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Solution

The third proportional to 544.50 and 733.25 is: 987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.50 : 733.25 = 733.25 : x
  2. Step 2: Convert to fraction form
    544.50/733.25 = 733.25/x
  3. Step 3: Cross multiply
    544.50x = 733.25 × 733.25
  4. Step 4: Simplify right side
    544.50x = 537,655.56
  5. Step 5: Solve for x
    x = 537,655.56/544.50
  6. Step 6: Final answer
    x = 987.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.