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Finding the Third Proportional to 207,147 and 446,004

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Solution

The third proportional to 207,147 and 446,004 is: 960,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,147 : 446,004 = 446,004 : x
  2. Step 2: Convert to fraction form
    207,147/446,004 = 446,004/x
  3. Step 3: Cross multiply
    207,147x = 446,004 × 446,004
  4. Step 4: Simplify right side
    207,147x = 198,919,568,016
  5. Step 5: Solve for x
    x = 198,919,568,016/207,147
  6. Step 6: Final answer
    x = 960,282.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.