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Finding the Third Proportional to 259,593 and 557,967

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Solution

The third proportional to 259,593 and 557,967 is: 1,199,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,593 : 557,967 = 557,967 : x
  2. Step 2: Convert to fraction form
    259,593/557,967 = 557,967/x
  3. Step 3: Cross multiply
    259,593x = 557,967 × 557,967
  4. Step 4: Simplify right side
    259,593x = 311,327,173,089
  5. Step 5: Solve for x
    x = 311,327,173,089/259,593
  6. Step 6: Final answer
    x = 1,199,289.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.