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Finding the Third Proportional to 557,449 and 823,051

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Solution

The third proportional to 557,449 and 823,051 is: 1,215,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,449 : 823,051 = 823,051 : x
  2. Step 2: Convert to fraction form
    557,449/823,051 = 823,051/x
  3. Step 3: Cross multiply
    557,449x = 823,051 × 823,051
  4. Step 4: Simplify right side
    557,449x = 677,412,948,601
  5. Step 5: Solve for x
    x = 677,412,948,601/557,449
  6. Step 6: Final answer
    x = 1,215,201.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.