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Finding the Third Proportional to 207,457 and 422,530

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Solution

The third proportional to 207,457 and 422,530 is: 860,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,457 : 422,530 = 422,530 : x
  2. Step 2: Convert to fraction form
    207,457/422,530 = 422,530/x
  3. Step 3: Cross multiply
    207,457x = 422,530 × 422,530
  4. Step 4: Simplify right side
    207,457x = 178,531,600,900
  5. Step 5: Solve for x
    x = 178,531,600,900/207,457
  6. Step 6: Final answer
    x = 860,571.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.