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Finding the Third Proportional to 203,611 and 438,774

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Solution

The third proportional to 203,611 and 438,774 is: 945,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,611 : 438,774 = 438,774 : x
  2. Step 2: Convert to fraction form
    203,611/438,774 = 438,774/x
  3. Step 3: Cross multiply
    203,611x = 438,774 × 438,774
  4. Step 4: Simplify right side
    203,611x = 192,522,623,076
  5. Step 5: Solve for x
    x = 192,522,623,076/203,611
  6. Step 6: Final answer
    x = 945,541.37

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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.