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Finding the Third Proportional to 299,067 and 448,613

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Solution

The third proportional to 299,067 and 448,613 is: 672,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,067 : 448,613 = 448,613 : x
  2. Step 2: Convert to fraction form
    299,067/448,613 = 448,613/x
  3. Step 3: Cross multiply
    299,067x = 448,613 × 448,613
  4. Step 4: Simplify right side
    299,067x = 201,253,623,769
  5. Step 5: Solve for x
    x = 201,253,623,769/299,067
  6. Step 6: Final answer
    x = 672,938.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.