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Finding the Third Proportional to 262,850.06 and 561,375.56

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Solution

The third proportional to 262,850.06 and 561,375.56 is: 1,198,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,850.06 : 561,375.56 = 561,375.56 : x
  2. Step 2: Convert to fraction form
    262,850.06/561,375.56 = 561,375.56/x
  3. Step 3: Cross multiply
    262,850.06x = 561,375.56 × 561,375.56
  4. Step 4: Simplify right side
    262,850.06x = 315,142,522,172.19
  5. Step 5: Solve for x
    x = 315,142,522,172.19/262,850.06
  6. Step 6: Final answer
    x = 1,198,944.06

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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.