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Finding the Third Proportional to 205,429.50 and 448,230.38

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Solution

The third proportional to 205,429.50 and 448,230.38 is: 978,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429.50 : 448,230.38 = 448,230.38 : x
  2. Step 2: Convert to fraction form
    205,429.50/448,230.38 = 448,230.38/x
  3. Step 3: Cross multiply
    205,429.50x = 448,230.38 × 448,230.38
  4. Step 4: Simplify right side
    205,429.50x = 200,910,469,072.64
  5. Step 5: Solve for x
    x = 200,910,469,072.64/205,429.50
  6. Step 6: Final answer
    x = 978,002.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.