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Finding the Third Proportional to 566.86 and 1,197.42

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Solution

The third proportional to 566.86 and 1,197.42 is: 2,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.86 : 1,197.42 = 1,197.42 : x
  2. Step 2: Convert to fraction form
    566.86/1,197.42 = 1,197.42/x
  3. Step 3: Cross multiply
    566.86x = 1,197.42 × 1,197.42
  4. Step 4: Simplify right side
    566.86x = 1,433,819.15
  5. Step 5: Solve for x
    x = 1,433,819.15/566.86
  6. Step 6: Final answer
    x = 2,529.41

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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.