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Finding the Third Proportional to 548,340.75 and 733,512

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Solution

The third proportional to 548,340.75 and 733,512 is: 981,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,340.75 : 733,512 = 733,512 : x
  2. Step 2: Convert to fraction form
    548,340.75/733,512 = 733,512/x
  3. Step 3: Cross multiply
    548,340.75x = 733,512 × 733,512
  4. Step 4: Simplify right side
    548,340.75x = 538,039,854,144
  5. Step 5: Solve for x
    x = 538,039,854,144/548,340.75
  6. Step 6: Final answer
    x = 981,214.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.