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Finding the Third Proportional to 397,375 and 851,567

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Solution

The third proportional to 397,375 and 851,567 is: 1,824,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,375 : 851,567 = 851,567 : x
  2. Step 2: Convert to fraction form
    397,375/851,567 = 851,567/x
  3. Step 3: Cross multiply
    397,375x = 851,567 × 851,567
  4. Step 4: Simplify right side
    397,375x = 725,166,355,489
  5. Step 5: Solve for x
    x = 725,166,355,489/397,375
  6. Step 6: Final answer
    x = 1,824,891.74

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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.