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Finding the Third Proportional to 483,936 and 726,384

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Solution

The third proportional to 483,936 and 726,384 is: 1,090,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,936 : 726,384 = 726,384 : x
  2. Step 2: Convert to fraction form
    483,936/726,384 = 726,384/x
  3. Step 3: Cross multiply
    483,936x = 726,384 × 726,384
  4. Step 4: Simplify right side
    483,936x = 527,633,715,456
  5. Step 5: Solve for x
    x = 527,633,715,456/483,936
  6. Step 6: Final answer
    x = 1,090,296.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.