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Finding the Third Proportional to 204,527 and 441,722

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Solution

The third proportional to 204,527 and 441,722 is: 953,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,527 : 441,722 = 441,722 : x
  2. Step 2: Convert to fraction form
    204,527/441,722 = 441,722/x
  3. Step 3: Cross multiply
    204,527x = 441,722 × 441,722
  4. Step 4: Simplify right side
    204,527x = 195,118,325,284
  5. Step 5: Solve for x
    x = 195,118,325,284/204,527
  6. Step 6: Final answer
    x = 953,997.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.