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Finding the Third Proportional to 549.49 and 1,144.34

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Solution

The third proportional to 549.49 and 1,144.34 is: 2,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.49 : 1,144.34 = 1,144.34 : x
  2. Step 2: Convert to fraction form
    549.49/1,144.34 = 1,144.34/x
  3. Step 3: Cross multiply
    549.49x = 1,144.34 × 1,144.34
  4. Step 4: Simplify right side
    549.49x = 1,309,504.74
  5. Step 5: Solve for x
    x = 1,309,504.74/549.49
  6. Step 6: Final answer
    x = 2,383.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.