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Finding the Third Proportional to 207,646 and 446,881

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Solution

The third proportional to 207,646 and 446,881 is: 961,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,646 : 446,881 = 446,881 : x
  2. Step 2: Convert to fraction form
    207,646/446,881 = 446,881/x
  3. Step 3: Cross multiply
    207,646x = 446,881 × 446,881
  4. Step 4: Simplify right side
    207,646x = 199,702,628,161
  5. Step 5: Solve for x
    x = 199,702,628,161/207,646
  6. Step 6: Final answer
    x = 961,745.61

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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.