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Finding the Third Proportional to 543.38 and 1,146.38

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Solution

The third proportional to 543.38 and 1,146.38 is: 2,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 1,146.38 = 1,146.38 : x
  2. Step 2: Convert to fraction form
    543.38/1,146.38 = 1,146.38/x
  3. Step 3: Cross multiply
    543.38x = 1,146.38 × 1,146.38
  4. Step 4: Simplify right side
    543.38x = 1,314,175.64
  5. Step 5: Solve for x
    x = 1,314,175.64/543.38
  6. Step 6: Final answer
    x = 2,418.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.