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Finding the Third Proportional to 490.22 and 973.69

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Solution

The third proportional to 490.22 and 973.69 is: 1,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 973.69 = 973.69 : x
  2. Step 2: Convert to fraction form
    490.22/973.69 = 973.69/x
  3. Step 3: Cross multiply
    490.22x = 973.69 × 973.69
  4. Step 4: Simplify right side
    490.22x = 948,067.35
  5. Step 5: Solve for x
    x = 948,067.35/490.22
  6. Step 6: Final answer
    x = 1,933.97

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.