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Finding the Third Proportional to 568.27 and 1,193.48

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Solution

The third proportional to 568.27 and 1,193.48 is: 2,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.27 : 1,193.48 = 1,193.48 : x
  2. Step 2: Convert to fraction form
    568.27/1,193.48 = 1,193.48/x
  3. Step 3: Cross multiply
    568.27x = 1,193.48 × 1,193.48
  4. Step 4: Simplify right side
    568.27x = 1,424,404.95
  5. Step 5: Solve for x
    x = 1,424,404.95/568.27
  6. Step 6: Final answer
    x = 2,506.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.