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Finding the Third Proportional to 206,381 and 481,653

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Solution

The third proportional to 206,381 and 481,653 is: 1,124,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,381 : 481,653 = 481,653 : x
  2. Step 2: Convert to fraction form
    206,381/481,653 = 481,653/x
  3. Step 3: Cross multiply
    206,381x = 481,653 × 481,653
  4. Step 4: Simplify right side
    206,381x = 231,989,612,409
  5. Step 5: Solve for x
    x = 231,989,612,409/206,381
  6. Step 6: Final answer
    x = 1,124,084.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.