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Finding the Third Proportional to 259,067 and 562,414

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Solution

The third proportional to 259,067 and 562,414 is: 1,220,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,067 : 562,414 = 562,414 : x
  2. Step 2: Convert to fraction form
    259,067/562,414 = 562,414/x
  3. Step 3: Cross multiply
    259,067x = 562,414 × 562,414
  4. Step 4: Simplify right side
    259,067x = 316,309,507,396
  5. Step 5: Solve for x
    x = 316,309,507,396/259,067
  6. Step 6: Final answer
    x = 1,220,956.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.