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Finding the Third Proportional to 548.38 and 1,202.94

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Solution

The third proportional to 548.38 and 1,202.94 is: 2,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.38 : 1,202.94 = 1,202.94 : x
  2. Step 2: Convert to fraction form
    548.38/1,202.94 = 1,202.94/x
  3. Step 3: Cross multiply
    548.38x = 1,202.94 × 1,202.94
  4. Step 4: Simplify right side
    548.38x = 1,447,058.63
  5. Step 5: Solve for x
    x = 1,447,058.63/548.38
  6. Step 6: Final answer
    x = 2,638.81

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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.