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Finding the Third Proportional to 211,791.94 and 322,651.69

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Solution

The third proportional to 211,791.94 and 322,651.69 is: 491,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,791.94 : 322,651.69 = 322,651.69 : x
  2. Step 2: Convert to fraction form
    211,791.94/322,651.69 = 322,651.69/x
  3. Step 3: Cross multiply
    211,791.94x = 322,651.69 × 322,651.69
  4. Step 4: Simplify right side
    211,791.94x = 104,104,111,446.60
  5. Step 5: Solve for x
    x = 104,104,111,446.60/211,791.94
  6. Step 6: Final answer
    x = 491,539.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.