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Finding the Third Proportional to 259,452 and 558,924

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Solution

The third proportional to 259,452 and 558,924 is: 1,204,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,452 : 558,924 = 558,924 : x
  2. Step 2: Convert to fraction form
    259,452/558,924 = 558,924/x
  3. Step 3: Cross multiply
    259,452x = 558,924 × 558,924
  4. Step 4: Simplify right side
    259,452x = 312,396,037,776
  5. Step 5: Solve for x
    x = 312,396,037,776/259,452
  6. Step 6: Final answer
    x = 1,204,061.01

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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.