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Finding the Third Proportional to 207,934 and 449,054

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Solution

The third proportional to 207,934 and 449,054 is: 969,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,934 : 449,054 = 449,054 : x
  2. Step 2: Convert to fraction form
    207,934/449,054 = 449,054/x
  3. Step 3: Cross multiply
    207,934x = 449,054 × 449,054
  4. Step 4: Simplify right side
    207,934x = 201,649,494,916
  5. Step 5: Solve for x
    x = 201,649,494,916/207,934
  6. Step 6: Final answer
    x = 969,776.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.