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Finding the Third Proportional to 351,512 and 544,744

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Solution

The third proportional to 351,512 and 544,744 is: 844,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,512 : 544,744 = 544,744 : x
  2. Step 2: Convert to fraction form
    351,512/544,744 = 544,744/x
  3. Step 3: Cross multiply
    351,512x = 544,744 × 544,744
  4. Step 4: Simplify right side
    351,512x = 296,746,025,536
  5. Step 5: Solve for x
    x = 296,746,025,536/351,512
  6. Step 6: Final answer
    x = 844,198.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.