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Finding the Third Proportional to 204,739 and 443,014

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Solution

The third proportional to 204,739 and 443,014 is: 958,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,739 : 443,014 = 443,014 : x
  2. Step 2: Convert to fraction form
    204,739/443,014 = 443,014/x
  3. Step 3: Cross multiply
    204,739x = 443,014 × 443,014
  4. Step 4: Simplify right side
    204,739x = 196,261,404,196
  5. Step 5: Solve for x
    x = 196,261,404,196/204,739
  6. Step 6: Final answer
    x = 958,593.16

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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.