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Finding the Third Proportional to 203,814.56 and 438,793.88

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Solution

The third proportional to 203,814.56 and 438,793.88 is: 944,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,814.56 : 438,793.88 = 438,793.88 : x
  2. Step 2: Convert to fraction form
    203,814.56/438,793.88 = 438,793.88/x
  3. Step 3: Cross multiply
    203,814.56x = 438,793.88 × 438,793.88
  4. Step 4: Simplify right side
    203,814.56x = 192,540,064,737.52
  5. Step 5: Solve for x
    x = 192,540,064,737.52/203,814.56
  6. Step 6: Final answer
    x = 944,682.57

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