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Finding the Third Proportional to 201,914 and 440,504

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Solution

The third proportional to 201,914 and 440,504 is: 961,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914 : 440,504 = 440,504 : x
  2. Step 2: Convert to fraction form
    201,914/440,504 = 440,504/x
  3. Step 3: Cross multiply
    201,914x = 440,504 × 440,504
  4. Step 4: Simplify right side
    201,914x = 194,043,774,016
  5. Step 5: Solve for x
    x = 194,043,774,016/201,914
  6. Step 6: Final answer
    x = 961,021.89

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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.