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Finding the Third Proportional to 544.78 and 1,247.20

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Solution

The third proportional to 544.78 and 1,247.20 is: 2,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 1,247.20 = 1,247.20 : x
  2. Step 2: Convert to fraction form
    544.78/1,247.20 = 1,247.20/x
  3. Step 3: Cross multiply
    544.78x = 1,247.20 × 1,247.20
  4. Step 4: Simplify right side
    544.78x = 1,555,515.64
  5. Step 5: Solve for x
    x = 1,555,515.64/544.78
  6. Step 6: Final answer
    x = 2,855.30

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.