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Finding the Third Proportional to 353,121.75 and 453,395.25

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Solution

The third proportional to 353,121.75 and 453,395.25 is: 582,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,121.75 : 453,395.25 = 453,395.25 : x
  2. Step 2: Convert to fraction form
    353,121.75/453,395.25 = 453,395.25/x
  3. Step 3: Cross multiply
    353,121.75x = 453,395.25 × 453,395.25
  4. Step 4: Simplify right side
    353,121.75x = 205,567,252,722.56
  5. Step 5: Solve for x
    x = 205,567,252,722.56/353,121.75
  6. Step 6: Final answer
    x = 582,142.71

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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.