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Finding the Third Proportional to 204,514 and 441,696

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Solution

The third proportional to 204,514 and 441,696 is: 953,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,514 : 441,696 = 441,696 : x
  2. Step 2: Convert to fraction form
    204,514/441,696 = 441,696/x
  3. Step 3: Cross multiply
    204,514x = 441,696 × 441,696
  4. Step 4: Simplify right side
    204,514x = 195,095,356,416
  5. Step 5: Solve for x
    x = 195,095,356,416/204,514
  6. Step 6: Final answer
    x = 953,946.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.