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Finding the Third Proportional to 203,611 and 443,362

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Solution

The third proportional to 203,611 and 443,362 is: 965,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,611 : 443,362 = 443,362 : x
  2. Step 2: Convert to fraction form
    203,611/443,362 = 443,362/x
  3. Step 3: Cross multiply
    203,611x = 443,362 × 443,362
  4. Step 4: Simplify right side
    203,611x = 196,569,863,044
  5. Step 5: Solve for x
    x = 196,569,863,044/203,611
  6. Step 6: Final answer
    x = 965,418.68

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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.