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Finding the Third Proportional to 323,682.44 and 490,022.16

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Solution

The third proportional to 323,682.44 and 490,022.16 is: 741,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,682.44 : 490,022.16 = 490,022.16 : x
  2. Step 2: Convert to fraction form
    323,682.44/490,022.16 = 490,022.16/x
  3. Step 3: Cross multiply
    323,682.44x = 490,022.16 × 490,022.16
  4. Step 4: Simplify right side
    323,682.44x = 240,121,713,615.90
  5. Step 5: Solve for x
    x = 240,121,713,615.90/323,682.44
  6. Step 6: Final answer
    x = 741,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.