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Finding the Third Proportional to 536.78 and 1,072.85

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Solution

The third proportional to 536.78 and 1,072.85 is: 2,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.78 : 1,072.85 = 1,072.85 : x
  2. Step 2: Convert to fraction form
    536.78/1,072.85 = 1,072.85/x
  3. Step 3: Cross multiply
    536.78x = 1,072.85 × 1,072.85
  4. Step 4: Simplify right side
    536.78x = 1,151,016.76
  5. Step 5: Solve for x
    x = 1,151,016.76/536.78
  6. Step 6: Final answer
    x = 2,144.29

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.