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Finding the Third Proportional to 258,055 and 410,891

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Solution

The third proportional to 258,055 and 410,891 is: 654,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,055 : 410,891 = 410,891 : x
  2. Step 2: Convert to fraction form
    258,055/410,891 = 410,891/x
  3. Step 3: Cross multiply
    258,055x = 410,891 × 410,891
  4. Step 4: Simplify right side
    258,055x = 168,831,413,881
  5. Step 5: Solve for x
    x = 168,831,413,881/258,055
  6. Step 6: Final answer
    x = 654,245.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.