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Finding the Third Proportional to 549.56 and 1,209.38

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Solution

The third proportional to 549.56 and 1,209.38 is: 2,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.56 : 1,209.38 = 1,209.38 : x
  2. Step 2: Convert to fraction form
    549.56/1,209.38 = 1,209.38/x
  3. Step 3: Cross multiply
    549.56x = 1,209.38 × 1,209.38
  4. Step 4: Simplify right side
    549.56x = 1,462,587.89
  5. Step 5: Solve for x
    x = 1,462,587.89/549.56
  6. Step 6: Final answer
    x = 2,661.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.