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Finding the Third Proportional to 547.38 and 1,193.48

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Solution

The third proportional to 547.38 and 1,193.48 is: 2,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 1,193.48 = 1,193.48 : x
  2. Step 2: Convert to fraction form
    547.38/1,193.48 = 1,193.48/x
  3. Step 3: Cross multiply
    547.38x = 1,193.48 × 1,193.48
  4. Step 4: Simplify right side
    547.38x = 1,424,404.95
  5. Step 5: Solve for x
    x = 1,424,404.95/547.38
  6. Step 6: Final answer
    x = 2,602.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.