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Finding the Third Proportional to 207,242 and 443,886

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Solution

The third proportional to 207,242 and 443,886 is: 950,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,242 : 443,886 = 443,886 : x
  2. Step 2: Convert to fraction form
    207,242/443,886 = 443,886/x
  3. Step 3: Cross multiply
    207,242x = 443,886 × 443,886
  4. Step 4: Simplify right side
    207,242x = 197,034,780,996
  5. Step 5: Solve for x
    x = 197,034,780,996/207,242
  6. Step 6: Final answer
    x = 950,747.34

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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.