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Finding the Third Proportional to 259,924 and 558,526

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Solution

The third proportional to 259,924 and 558,526 is: 1,200,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,924 : 558,526 = 558,526 : x
  2. Step 2: Convert to fraction form
    259,924/558,526 = 558,526/x
  3. Step 3: Cross multiply
    259,924x = 558,526 × 558,526
  4. Step 4: Simplify right side
    259,924x = 311,951,292,676
  5. Step 5: Solve for x
    x = 311,951,292,676/259,924
  6. Step 6: Final answer
    x = 1,200,163.48

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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.