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Finding the Third Proportional to 202,671 and 441,009

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Solution

The third proportional to 202,671 and 441,009 is: 959,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,671 : 441,009 = 441,009 : x
  2. Step 2: Convert to fraction form
    202,671/441,009 = 441,009/x
  3. Step 3: Cross multiply
    202,671x = 441,009 × 441,009
  4. Step 4: Simplify right side
    202,671x = 194,488,938,081
  5. Step 5: Solve for x
    x = 194,488,938,081/202,671
  6. Step 6: Final answer
    x = 959,628.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.