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Finding the Third Proportional to 338,601.75 and 449,491.50

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Solution

The third proportional to 338,601.75 and 449,491.50 is: 596,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,601.75 : 449,491.50 = 449,491.50 : x
  2. Step 2: Convert to fraction form
    338,601.75/449,491.50 = 449,491.50/x
  3. Step 3: Cross multiply
    338,601.75x = 449,491.50 × 449,491.50
  4. Step 4: Simplify right side
    338,601.75x = 202,042,608,572.25
  5. Step 5: Solve for x
    x = 202,042,608,572.25/338,601.75
  6. Step 6: Final answer
    x = 596,696.88

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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.