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Finding the Third Proportional to 200,588 and 440,544

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Solution

The third proportional to 200,588 and 440,544 is: 967,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,588 : 440,544 = 440,544 : x
  2. Step 2: Convert to fraction form
    200,588/440,544 = 440,544/x
  3. Step 3: Cross multiply
    200,588x = 440,544 × 440,544
  4. Step 4: Simplify right side
    200,588x = 194,079,015,936
  5. Step 5: Solve for x
    x = 194,079,015,936/200,588
  6. Step 6: Final answer
    x = 967,550.48

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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.