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Finding the Third Proportional to 203,916 and 444,696

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Solution

The third proportional to 203,916 and 444,696 is: 969,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,916 : 444,696 = 444,696 : x
  2. Step 2: Convert to fraction form
    203,916/444,696 = 444,696/x
  3. Step 3: Cross multiply
    203,916x = 444,696 × 444,696
  4. Step 4: Simplify right side
    203,916x = 197,754,532,416
  5. Step 5: Solve for x
    x = 197,754,532,416/203,916
  6. Step 6: Final answer
    x = 969,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.