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Finding the Third Proportional to 562.36 and 1,188.42

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Solution

The third proportional to 562.36 and 1,188.42 is: 2,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 1,188.42 = 1,188.42 : x
  2. Step 2: Convert to fraction form
    562.36/1,188.42 = 1,188.42/x
  3. Step 3: Cross multiply
    562.36x = 1,188.42 × 1,188.42
  4. Step 4: Simplify right side
    562.36x = 1,412,346.55
  5. Step 5: Solve for x
    x = 1,412,346.55/562.36
  6. Step 6: Final answer
    x = 2,511.47

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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.