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Finding the Third Proportional to 200,738 and 300,441

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Solution

The third proportional to 200,738 and 300,441 is: 449,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738 : 300,441 = 300,441 : x
  2. Step 2: Convert to fraction form
    200,738/300,441 = 300,441/x
  3. Step 3: Cross multiply
    200,738x = 300,441 × 300,441
  4. Step 4: Simplify right side
    200,738x = 90,264,794,481
  5. Step 5: Solve for x
    x = 90,264,794,481/200,738
  6. Step 6: Final answer
    x = 449,664.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.