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Finding the Third Proportional to 204,736 and 444,842

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Solution

The third proportional to 204,736 and 444,842 is: 966,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,736 : 444,842 = 444,842 : x
  2. Step 2: Convert to fraction form
    204,736/444,842 = 444,842/x
  3. Step 3: Cross multiply
    204,736x = 444,842 × 444,842
  4. Step 4: Simplify right side
    204,736x = 197,884,404,964
  5. Step 5: Solve for x
    x = 197,884,404,964/204,736
  6. Step 6: Final answer
    x = 966,534.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.