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Finding the Third Proportional to 326,104.88 and 450,606.38

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Solution

The third proportional to 326,104.88 and 450,606.38 is: 622,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,104.88 : 450,606.38 = 450,606.38 : x
  2. Step 2: Convert to fraction form
    326,104.88/450,606.38 = 450,606.38/x
  3. Step 3: Cross multiply
    326,104.88x = 450,606.38 × 450,606.38
  4. Step 4: Simplify right side
    326,104.88x = 203,046,105,190.64
  5. Step 5: Solve for x
    x = 203,046,105,190.64/326,104.88
  6. Step 6: Final answer
    x = 622,640.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.