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Finding the Third Proportional to 558,099 and 835,906

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Solution

The third proportional to 558,099 and 835,906 is: 1,251,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,099 : 835,906 = 835,906 : x
  2. Step 2: Convert to fraction form
    558,099/835,906 = 835,906/x
  3. Step 3: Cross multiply
    558,099x = 835,906 × 835,906
  4. Step 4: Simplify right side
    558,099x = 698,738,840,836
  5. Step 5: Solve for x
    x = 698,738,840,836/558,099
  6. Step 6: Final answer
    x = 1,251,998.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.