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Finding the Third Proportional to 207,016 and 443,544

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Solution

The third proportional to 207,016 and 443,544 is: 950,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,016 : 443,544 = 443,544 : x
  2. Step 2: Convert to fraction form
    207,016/443,544 = 443,544/x
  3. Step 3: Cross multiply
    207,016x = 443,544 × 443,544
  4. Step 4: Simplify right side
    207,016x = 196,731,279,936
  5. Step 5: Solve for x
    x = 196,731,279,936/207,016
  6. Step 6: Final answer
    x = 950,319.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.