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Finding the Third Proportional to 323,392 and 659,936

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Solution

The third proportional to 323,392 and 659,936 is: 1,346,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,392 : 659,936 = 659,936 : x
  2. Step 2: Convert to fraction form
    323,392/659,936 = 659,936/x
  3. Step 3: Cross multiply
    323,392x = 659,936 × 659,936
  4. Step 4: Simplify right side
    323,392x = 435,515,524,096
  5. Step 5: Solve for x
    x = 435,515,524,096/323,392
  6. Step 6: Final answer
    x = 1,346,710.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.