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Finding the Third Proportional to 259,513 and 557,824

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Solution

The third proportional to 259,513 and 557,824 is: 1,199,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,513 : 557,824 = 557,824 : x
  2. Step 2: Convert to fraction form
    259,513/557,824 = 557,824/x
  3. Step 3: Cross multiply
    259,513x = 557,824 × 557,824
  4. Step 4: Simplify right side
    259,513x = 311,167,614,976
  5. Step 5: Solve for x
    x = 311,167,614,976/259,513
  6. Step 6: Final answer
    x = 1,199,044.42

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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.