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Finding the Third Proportional to 204,287.06 and 443,019.38

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Solution

The third proportional to 204,287.06 and 443,019.38 is: 960,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,287.06 : 443,019.38 = 443,019.38 : x
  2. Step 2: Convert to fraction form
    204,287.06/443,019.38 = 443,019.38/x
  3. Step 3: Cross multiply
    204,287.06x = 443,019.38 × 443,019.38
  4. Step 4: Simplify right side
    204,287.06x = 196,266,166,625.39
  5. Step 5: Solve for x
    x = 196,266,166,625.39/204,287.06
  6. Step 6: Final answer
    x = 960,737.13

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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.