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Finding the Third Proportional to 322,035.75 and 453,984.75

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Solution

The third proportional to 322,035.75 and 453,984.75 is: 639,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,035.75 : 453,984.75 = 453,984.75 : x
  2. Step 2: Convert to fraction form
    322,035.75/453,984.75 = 453,984.75/x
  3. Step 3: Cross multiply
    322,035.75x = 453,984.75 × 453,984.75
  4. Step 4: Simplify right side
    322,035.75x = 206,102,153,232.56
  5. Step 5: Solve for x
    x = 206,102,153,232.56/322,035.75
  6. Step 6: Final answer
    x = 639,997.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.