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Finding the Third Proportional to 609,267.38 and 851,749.31

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Solution

The third proportional to 609,267.38 and 851,749.31 is: 1,190,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,267.38 : 851,749.31 = 851,749.31 : x
  2. Step 2: Convert to fraction form
    609,267.38/851,749.31 = 851,749.31/x
  3. Step 3: Cross multiply
    609,267.38x = 851,749.31 × 851,749.31
  4. Step 4: Simplify right side
    609,267.38x = 725,476,891,344.22
  5. Step 5: Solve for x
    x = 725,476,891,344.22/609,267.38
  6. Step 6: Final answer
    x = 1,190,736.48

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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.