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Finding the Third Proportional to 200,583 and 440,694

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Solution

The third proportional to 200,583 and 440,694 is: 968,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,583 : 440,694 = 440,694 : x
  2. Step 2: Convert to fraction form
    200,583/440,694 = 440,694/x
  3. Step 3: Cross multiply
    200,583x = 440,694 × 440,694
  4. Step 4: Simplify right side
    200,583x = 194,211,201,636
  5. Step 5: Solve for x
    x = 194,211,201,636/200,583
  6. Step 6: Final answer
    x = 968,233.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.