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Finding the Third Proportional to 338,573.25 and 449,448.75

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Solution

The third proportional to 338,573.25 and 449,448.75 is: 596,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,573.25 : 449,448.75 = 449,448.75 : x
  2. Step 2: Convert to fraction form
    338,573.25/449,448.75 = 449,448.75/x
  3. Step 3: Cross multiply
    338,573.25x = 449,448.75 × 449,448.75
  4. Step 4: Simplify right side
    338,573.25x = 202,004,178,876.56
  5. Step 5: Solve for x
    x = 202,004,178,876.56/338,573.25
  6. Step 6: Final answer
    x = 596,633.61

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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.