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Finding the Third Proportional to 207,239 and 443,881

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Solution

The third proportional to 207,239 and 443,881 is: 950,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,239 : 443,881 = 443,881 : x
  2. Step 2: Convert to fraction form
    207,239/443,881 = 443,881/x
  3. Step 3: Cross multiply
    207,239x = 443,881 × 443,881
  4. Step 4: Simplify right side
    207,239x = 197,030,342,161
  5. Step 5: Solve for x
    x = 197,030,342,161/207,239
  6. Step 6: Final answer
    x = 950,739.69

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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.