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Finding the Third Proportional to 549.75 and 1,176.44

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Solution

The third proportional to 549.75 and 1,176.44 is: 2,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 1,176.44 = 1,176.44 : x
  2. Step 2: Convert to fraction form
    549.75/1,176.44 = 1,176.44/x
  3. Step 3: Cross multiply
    549.75x = 1,176.44 × 1,176.44
  4. Step 4: Simplify right side
    549.75x = 1,384,005.19
  5. Step 5: Solve for x
    x = 1,384,005.19/549.75
  6. Step 6: Final answer
    x = 2,517.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.