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Finding the Third Proportional to 338,816.25 and 451,693.69

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Solution

The third proportional to 338,816.25 and 451,693.69 is: 602,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,816.25 : 451,693.69 = 451,693.69 : x
  2. Step 2: Convert to fraction form
    338,816.25/451,693.69 = 451,693.69/x
  3. Step 3: Cross multiply
    338,816.25x = 451,693.69 × 451,693.69
  4. Step 4: Simplify right side
    338,816.25x = 204,027,187,327.35
  5. Step 5: Solve for x
    x = 204,027,187,327.35/338,816.25
  6. Step 6: Final answer
    x = 602,176.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.