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Finding the Third Proportional to 206,383 and 481,658

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Solution

The third proportional to 206,383 and 481,658 is: 1,124,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,383 : 481,658 = 481,658 : x
  2. Step 2: Convert to fraction form
    206,383/481,658 = 481,658/x
  3. Step 3: Cross multiply
    206,383x = 481,658 × 481,658
  4. Step 4: Simplify right side
    206,383x = 231,994,428,964
  5. Step 5: Solve for x
    x = 231,994,428,964/206,383
  6. Step 6: Final answer
    x = 1,124,096.60

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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.