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Finding the Third Proportional to 441.70 and 970.73

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Solution

The third proportional to 441.70 and 970.73 is: 2,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.70 : 970.73 = 970.73 : x
  2. Step 2: Convert to fraction form
    441.70/970.73 = 970.73/x
  3. Step 3: Cross multiply
    441.70x = 970.73 × 970.73
  4. Step 4: Simplify right side
    441.70x = 942,325.23
  5. Step 5: Solve for x
    x = 942,325.23/441.70
  6. Step 6: Final answer
    x = 2,133.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.