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Finding the Third Proportional to 547.41 and 1,201.03

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Solution

The third proportional to 547.41 and 1,201.03 is: 2,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.41 : 1,201.03 = 1,201.03 : x
  2. Step 2: Convert to fraction form
    547.41/1,201.03 = 1,201.03/x
  3. Step 3: Cross multiply
    547.41x = 1,201.03 × 1,201.03
  4. Step 4: Simplify right side
    547.41x = 1,442,476.06
  5. Step 5: Solve for x
    x = 1,442,476.06/547.41
  6. Step 6: Final answer
    x = 2,635.11

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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.