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Finding the Third Proportional to 544.88 and 1,196.44

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Solution

The third proportional to 544.88 and 1,196.44 is: 2,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.88 : 1,196.44 = 1,196.44 : x
  2. Step 2: Convert to fraction form
    544.88/1,196.44 = 1,196.44/x
  3. Step 3: Cross multiply
    544.88x = 1,196.44 × 1,196.44
  4. Step 4: Simplify right side
    544.88x = 1,431,462.69
  5. Step 5: Solve for x
    x = 1,431,462.69/544.88
  6. Step 6: Final answer
    x = 2,627.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.