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Finding the Third Proportional to 267,949 and 426,524

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Solution

The third proportional to 267,949 and 426,524 is: 678,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,949 : 426,524 = 426,524 : x
  2. Step 2: Convert to fraction form
    267,949/426,524 = 426,524/x
  3. Step 3: Cross multiply
    267,949x = 426,524 × 426,524
  4. Step 4: Simplify right side
    267,949x = 181,922,722,576
  5. Step 5: Solve for x
    x = 181,922,722,576/267,949
  6. Step 6: Final answer
    x = 678,945.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.