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Finding the Third Proportional to 202,471 and 444,619

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Solution

The third proportional to 202,471 and 444,619 is: 976,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,471 : 444,619 = 444,619 : x
  2. Step 2: Convert to fraction form
    202,471/444,619 = 444,619/x
  3. Step 3: Cross multiply
    202,471x = 444,619 × 444,619
  4. Step 4: Simplify right side
    202,471x = 197,686,055,161
  5. Step 5: Solve for x
    x = 197,686,055,161/202,471
  6. Step 6: Final answer
    x = 976,367.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.