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Finding the Third Proportional to 200,589 and 440,706

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Solution

The third proportional to 200,589 and 440,706 is: 968,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589 : 440,706 = 440,706 : x
  2. Step 2: Convert to fraction form
    200,589/440,706 = 440,706/x
  3. Step 3: Cross multiply
    200,589x = 440,706 × 440,706
  4. Step 4: Simplify right side
    200,589x = 194,221,778,436
  5. Step 5: Solve for x
    x = 194,221,778,436/200,589
  6. Step 6: Final answer
    x = 968,257.37

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Why These Related Problems?

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