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Finding the Third Proportional to 240,900 and 374,694

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Solution

The third proportional to 240,900 and 374,694 is: 582,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,900 : 374,694 = 374,694 : x
  2. Step 2: Convert to fraction form
    240,900/374,694 = 374,694/x
  3. Step 3: Cross multiply
    240,900x = 374,694 × 374,694
  4. Step 4: Simplify right side
    240,900x = 140,395,593,636
  5. Step 5: Solve for x
    x = 140,395,593,636/240,900
  6. Step 6: Final answer
    x = 582,796.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.