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Finding the Third Proportional to 207,902 and 446,860

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Solution

The third proportional to 207,902 and 446,860 is: 960,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902 : 446,860 = 446,860 : x
  2. Step 2: Convert to fraction form
    207,902/446,860 = 446,860/x
  3. Step 3: Cross multiply
    207,902x = 446,860 × 446,860
  4. Step 4: Simplify right side
    207,902x = 199,683,859,600
  5. Step 5: Solve for x
    x = 199,683,859,600/207,902
  6. Step 6: Final answer
    x = 960,471.09

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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.