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Finding the Third Proportional to 548.30 and 1,199.11

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Solution

The third proportional to 548.30 and 1,199.11 is: 2,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.30 : 1,199.11 = 1,199.11 : x
  2. Step 2: Convert to fraction form
    548.30/1,199.11 = 1,199.11/x
  3. Step 3: Cross multiply
    548.30x = 1,199.11 × 1,199.11
  4. Step 4: Simplify right side
    548.30x = 1,437,863.29
  5. Step 5: Solve for x
    x = 1,437,863.29/548.30
  6. Step 6: Final answer
    x = 2,622.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.