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Finding the Third Proportional to 419,200.31 and 561,213.56

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Solution

The third proportional to 419,200.31 and 561,213.56 is: 751,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,200.31 : 561,213.56 = 561,213.56 : x
  2. Step 2: Convert to fraction form
    419,200.31/561,213.56 = 561,213.56/x
  3. Step 3: Cross multiply
    419,200.31x = 561,213.56 × 561,213.56
  4. Step 4: Simplify right side
    419,200.31x = 314,960,662,733.94
  5. Step 5: Solve for x
    x = 314,960,662,733.94/419,200.31
  6. Step 6: Final answer
    x = 751,336.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.