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Finding the Third Proportional to 320,383,361 and 481,428,111

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Solution

The third proportional to 320,383,361 and 481,428,111 is: 723,424,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,383,361 : 481,428,111 = 481,428,111 : x
  2. Step 2: Convert to fraction form
    320,383,361/481,428,111 = 481,428,111/x
  3. Step 3: Cross multiply
    320,383,361x = 481,428,111 × 481,428,111
  4. Step 4: Simplify right side
    320,383,361x = 231,773,026,061,028,320
  5. Step 5: Solve for x
    x = 231,773,026,061,028,320/320,383,361
  6. Step 6: Final answer
    x = 723,424,042.18

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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.