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Finding the Third Proportional to 207,338 and 444,996

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Solution

The third proportional to 207,338 and 444,996 is: 955,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,338 : 444,996 = 444,996 : x
  2. Step 2: Convert to fraction form
    207,338/444,996 = 444,996/x
  3. Step 3: Cross multiply
    207,338x = 444,996 × 444,996
  4. Step 4: Simplify right side
    207,338x = 198,021,440,016
  5. Step 5: Solve for x
    x = 198,021,440,016/207,338
  6. Step 6: Final answer
    x = 955,065.83

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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.