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Finding the Third Proportional to 311,924 and 446,067

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Solution

The third proportional to 311,924 and 446,067 is: 637,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,924 : 446,067 = 446,067 : x
  2. Step 2: Convert to fraction form
    311,924/446,067 = 446,067/x
  3. Step 3: Cross multiply
    311,924x = 446,067 × 446,067
  4. Step 4: Simplify right side
    311,924x = 198,975,768,489
  5. Step 5: Solve for x
    x = 198,975,768,489/311,924
  6. Step 6: Final answer
    x = 637,898.23

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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.