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Finding the Third Proportional to 353,099.25 and 453,372.75

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Solution

The third proportional to 353,099.25 and 453,372.75 is: 582,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,099.25 : 453,372.75 = 453,372.75 : x
  2. Step 2: Convert to fraction form
    353,099.25/453,372.75 = 453,372.75/x
  3. Step 3: Cross multiply
    353,099.25x = 453,372.75 × 453,372.75
  4. Step 4: Simplify right side
    353,099.25x = 205,546,850,442.56
  5. Step 5: Solve for x
    x = 205,546,850,442.56/353,099.25
  6. Step 6: Final answer
    x = 582,122.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.