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Finding the Third Proportional to 609,272 and 851,755

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Solution

The third proportional to 609,272 and 851,755 is: 1,190,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,272 : 851,755 = 851,755 : x
  2. Step 2: Convert to fraction form
    609,272/851,755 = 851,755/x
  3. Step 3: Cross multiply
    609,272x = 851,755 × 851,755
  4. Step 4: Simplify right side
    609,272x = 725,486,580,025
  5. Step 5: Solve for x
    x = 725,486,580,025/609,272
  6. Step 6: Final answer
    x = 1,190,743.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.