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Finding the Third Proportional to 267.26 and 620.89

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Solution

The third proportional to 267.26 and 620.89 is: 1,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.26 : 620.89 = 620.89 : x
  2. Step 2: Convert to fraction form
    267.26/620.89 = 620.89/x
  3. Step 3: Cross multiply
    267.26x = 620.89 × 620.89
  4. Step 4: Simplify right side
    267.26x = 385,510.02
  5. Step 5: Solve for x
    x = 385,510.02/267.26
  6. Step 6: Final answer
    x = 1,442.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.