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Finding the Third Proportional to 299,067 and 426,567

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Solution

The third proportional to 299,067 and 426,567 is: 608,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,067 : 426,567 = 426,567 : x
  2. Step 2: Convert to fraction form
    299,067/426,567 = 426,567/x
  3. Step 3: Cross multiply
    299,067x = 426,567 × 426,567
  4. Step 4: Simplify right side
    299,067x = 181,959,405,489
  5. Step 5: Solve for x
    x = 181,959,405,489/299,067
  6. Step 6: Final answer
    x = 608,423.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.