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Finding the Third Proportional to 473.44 and 966.19

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Solution

The third proportional to 473.44 and 966.19 is: 1,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.44 : 966.19 = 966.19 : x
  2. Step 2: Convert to fraction form
    473.44/966.19 = 966.19/x
  3. Step 3: Cross multiply
    473.44x = 966.19 × 966.19
  4. Step 4: Simplify right side
    473.44x = 933,518.29
  5. Step 5: Solve for x
    x = 933,518.29/473.44
  6. Step 6: Final answer
    x = 1,971.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.