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Finding the Third Proportional to 568.34 and 1,233.98

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Solution

The third proportional to 568.34 and 1,233.98 is: 2,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.34 : 1,233.98 = 1,233.98 : x
  2. Step 2: Convert to fraction form
    568.34/1,233.98 = 1,233.98/x
  3. Step 3: Cross multiply
    568.34x = 1,233.98 × 1,233.98
  4. Step 4: Simplify right side
    568.34x = 1,522,717.44
  5. Step 5: Solve for x
    x = 1,522,717.44/568.34
  6. Step 6: Final answer
    x = 2,679.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.