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Finding the Third Proportional to 267,962 and 426,544

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Solution

The third proportional to 267,962 and 426,544 is: 678,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,962 : 426,544 = 426,544 : x
  2. Step 2: Convert to fraction form
    267,962/426,544 = 426,544/x
  3. Step 3: Cross multiply
    267,962x = 426,544 × 426,544
  4. Step 4: Simplify right side
    267,962x = 181,939,783,936
  5. Step 5: Solve for x
    x = 181,939,783,936/267,962
  6. Step 6: Final answer
    x = 678,976.06

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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.