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Finding the Third Proportional to 203,824.69 and 438,814.13

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Solution

The third proportional to 203,824.69 and 438,814.13 is: 944,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,824.69 : 438,814.13 = 438,814.13 : x
  2. Step 2: Convert to fraction form
    203,824.69/438,814.13 = 438,814.13/x
  3. Step 3: Cross multiply
    203,824.69x = 438,814.13 × 438,814.13
  4. Step 4: Simplify right side
    203,824.69x = 192,557,836,299.52
  5. Step 5: Solve for x
    x = 192,557,836,299.52/203,824.69
  6. Step 6: Final answer
    x = 944,722.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.