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Finding the Third Proportional to 547.82 and 1,210.97

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Solution

The third proportional to 547.82 and 1,210.97 is: 2,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 1,210.97 = 1,210.97 : x
  2. Step 2: Convert to fraction form
    547.82/1,210.97 = 1,210.97/x
  3. Step 3: Cross multiply
    547.82x = 1,210.97 × 1,210.97
  4. Step 4: Simplify right side
    547.82x = 1,466,438.22
  5. Step 5: Solve for x
    x = 1,466,438.22/547.82
  6. Step 6: Final answer
    x = 2,676.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.