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Finding the Third Proportional to 201,614 and 440,120

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Solution

The third proportional to 201,614 and 440,120 is: 960,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614 : 440,120 = 440,120 : x
  2. Step 2: Convert to fraction form
    201,614/440,120 = 440,120/x
  3. Step 3: Cross multiply
    201,614x = 440,120 × 440,120
  4. Step 4: Simplify right side
    201,614x = 193,705,614,400
  5. Step 5: Solve for x
    x = 193,705,614,400/201,614
  6. Step 6: Final answer
    x = 960,774.62

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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.