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Finding the Third Proportional to 200,744 and 441,411

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Solution

The third proportional to 200,744 and 441,411 is: 970,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744 : 441,411 = 441,411 : x
  2. Step 2: Convert to fraction form
    200,744/441,411 = 441,411/x
  3. Step 3: Cross multiply
    200,744x = 441,411 × 441,411
  4. Step 4: Simplify right side
    200,744x = 194,843,670,921
  5. Step 5: Solve for x
    x = 194,843,670,921/200,744
  6. Step 6: Final answer
    x = 970,607.69

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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.