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Finding the Third Proportional to 267,042 and 412,338

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Solution

The third proportional to 267,042 and 412,338 is: 636,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,042 : 412,338 = 412,338 : x
  2. Step 2: Convert to fraction form
    267,042/412,338 = 412,338/x
  3. Step 3: Cross multiply
    267,042x = 412,338 × 412,338
  4. Step 4: Simplify right side
    267,042x = 170,022,626,244
  5. Step 5: Solve for x
    x = 170,022,626,244/267,042
  6. Step 6: Final answer
    x = 636,688.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.