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Finding the Third Proportional to 323,092.69 and 452,760.75

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Solution

The third proportional to 323,092.69 and 452,760.75 is: 634,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,092.69 : 452,760.75 = 452,760.75 : x
  2. Step 2: Convert to fraction form
    323,092.69/452,760.75 = 452,760.75/x
  3. Step 3: Cross multiply
    323,092.69x = 452,760.75 × 452,760.75
  4. Step 4: Simplify right side
    323,092.69x = 204,992,296,740.56
  5. Step 5: Solve for x
    x = 204,992,296,740.56/323,092.69
  6. Step 6: Final answer
    x = 634,469.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.