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Finding the Third Proportional to 474.13 and 967.56

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Solution

The third proportional to 474.13 and 967.56 is: 1,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.13 : 967.56 = 967.56 : x
  2. Step 2: Convert to fraction form
    474.13/967.56 = 967.56/x
  3. Step 3: Cross multiply
    474.13x = 967.56 × 967.56
  4. Step 4: Simplify right side
    474.13x = 936,177.19
  5. Step 5: Solve for x
    x = 936,177.19/474.13
  6. Step 6: Final answer
    x = 1,974.54

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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.