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Finding the Third Proportional to 442.69 and 966.23

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Solution

The third proportional to 442.69 and 966.23 is: 2,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 966.23 = 966.23 : x
  2. Step 2: Convert to fraction form
    442.69/966.23 = 966.23/x
  3. Step 3: Cross multiply
    442.69x = 966.23 × 966.23
  4. Step 4: Simplify right side
    442.69x = 933,608.87
  5. Step 5: Solve for x
    x = 933,608.87/442.69
  6. Step 6: Final answer
    x = 2,108.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.