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Finding the Third Proportional to 259,926 and 558,531

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Solution

The third proportional to 259,926 and 558,531 is: 1,200,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,926 : 558,531 = 558,531 : x
  2. Step 2: Convert to fraction form
    259,926/558,531 = 558,531/x
  3. Step 3: Cross multiply
    259,926x = 558,531 × 558,531
  4. Step 4: Simplify right side
    259,926x = 311,956,877,961
  5. Step 5: Solve for x
    x = 311,956,877,961/259,926
  6. Step 6: Final answer
    x = 1,200,175.73

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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.