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Finding the Third Proportional to 201,922 and 440,519

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Solution

The third proportional to 201,922 and 440,519 is: 961,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,922 : 440,519 = 440,519 : x
  2. Step 2: Convert to fraction form
    201,922/440,519 = 440,519/x
  3. Step 3: Cross multiply
    201,922x = 440,519 × 440,519
  4. Step 4: Simplify right side
    201,922x = 194,056,989,361
  5. Step 5: Solve for x
    x = 194,056,989,361/201,922
  6. Step 6: Final answer
    x = 961,049.26

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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.