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Finding the Third Proportional to 203,928 and 413,552

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Solution

The third proportional to 203,928 and 413,552 is: 838,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,928 : 413,552 = 413,552 : x
  2. Step 2: Convert to fraction form
    203,928/413,552 = 413,552/x
  3. Step 3: Cross multiply
    203,928x = 413,552 × 413,552
  4. Step 4: Simplify right side
    203,928x = 171,025,256,704
  5. Step 5: Solve for x
    x = 171,025,256,704/203,928
  6. Step 6: Final answer
    x = 838,655.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.