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Finding the Third Proportional to 201,611 and 440,116

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Solution

The third proportional to 201,611 and 440,116 is: 960,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611 : 440,116 = 440,116 : x
  2. Step 2: Convert to fraction form
    201,611/440,116 = 440,116/x
  3. Step 3: Cross multiply
    201,611x = 440,116 × 440,116
  4. Step 4: Simplify right side
    201,611x = 193,702,093,456
  5. Step 5: Solve for x
    x = 193,702,093,456/201,611
  6. Step 6: Final answer
    x = 960,771.45

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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.