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Finding the Third Proportional to 207,398 and 444,172

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Solution

The third proportional to 207,398 and 444,172 is: 951,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398 : 444,172 = 444,172 : x
  2. Step 2: Convert to fraction form
    207,398/444,172 = 444,172/x
  3. Step 3: Cross multiply
    207,398x = 444,172 × 444,172
  4. Step 4: Simplify right side
    207,398x = 197,288,765,584
  5. Step 5: Solve for x
    x = 197,288,765,584/207,398
  6. Step 6: Final answer
    x = 951,256.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.