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Finding the Third Proportional to 565.73 and 1,188.42

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Solution

The third proportional to 565.73 and 1,188.42 is: 2,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.73 : 1,188.42 = 1,188.42 : x
  2. Step 2: Convert to fraction form
    565.73/1,188.42 = 1,188.42/x
  3. Step 3: Cross multiply
    565.73x = 1,188.42 × 1,188.42
  4. Step 4: Simplify right side
    565.73x = 1,412,346.55
  5. Step 5: Solve for x
    x = 1,412,346.55/565.73
  6. Step 6: Final answer
    x = 2,496.48

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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.