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Finding the Third Proportional to 331,131 and 737,214

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Solution

The third proportional to 331,131 and 737,214 is: 1,641,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,131 : 737,214 = 737,214 : x
  2. Step 2: Convert to fraction form
    331,131/737,214 = 737,214/x
  3. Step 3: Cross multiply
    331,131x = 737,214 × 737,214
  4. Step 4: Simplify right side
    331,131x = 543,484,481,796
  5. Step 5: Solve for x
    x = 543,484,481,796/331,131
  6. Step 6: Final answer
    x = 1,641,297.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.