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Finding the Third Proportional to 481,412 and 672,993

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Solution

The third proportional to 481,412 and 672,993 is: 940,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,412 : 672,993 = 672,993 : x
  2. Step 2: Convert to fraction form
    481,412/672,993 = 672,993/x
  3. Step 3: Cross multiply
    481,412x = 672,993 × 672,993
  4. Step 4: Simplify right side
    481,412x = 452,919,578,049
  5. Step 5: Solve for x
    x = 452,919,578,049/481,412
  6. Step 6: Final answer
    x = 940,814.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.