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Finding the Third Proportional to 200,733 and 441,388

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Solution

The third proportional to 200,733 and 441,388 is: 970,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,733 : 441,388 = 441,388 : x
  2. Step 2: Convert to fraction form
    200,733/441,388 = 441,388/x
  3. Step 3: Cross multiply
    200,733x = 441,388 × 441,388
  4. Step 4: Simplify right side
    200,733x = 194,823,366,544
  5. Step 5: Solve for x
    x = 194,823,366,544/200,733
  6. Step 6: Final answer
    x = 970,559.73

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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.