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Finding the Third Proportional to 203,760 and 481,728

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Solution

The third proportional to 203,760 and 481,728 is: 1,138,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,760 : 481,728 = 481,728 : x
  2. Step 2: Convert to fraction form
    203,760/481,728 = 481,728/x
  3. Step 3: Cross multiply
    203,760x = 481,728 × 481,728
  4. Step 4: Simplify right side
    203,760x = 232,061,865,984
  5. Step 5: Solve for x
    x = 232,061,865,984/203,760
  6. Step 6: Final answer
    x = 1,138,898.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.