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Finding the Third Proportional to 201,914 and 440,503.50

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Solution

The third proportional to 201,914 and 440,503.50 is: 961,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914 : 440,503.50 = 440,503.50 : x
  2. Step 2: Convert to fraction form
    201,914/440,503.50 = 440,503.50/x
  3. Step 3: Cross multiply
    201,914x = 440,503.50 × 440,503.50
  4. Step 4: Simplify right side
    201,914x = 194,043,333,512.25
  5. Step 5: Solve for x
    x = 194,043,333,512.25/201,914
  6. Step 6: Final answer
    x = 961,019.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.