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Finding the Third Proportional to 323,129.25 and 452,794.43

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Solution

The third proportional to 323,129.25 and 452,794.43 is: 634,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,129.25 : 452,794.43 = 452,794.43 : x
  2. Step 2: Convert to fraction form
    323,129.25/452,794.43 = 452,794.43/x
  3. Step 3: Cross multiply
    323,129.25x = 452,794.43 × 452,794.43
  4. Step 4: Simplify right side
    323,129.25x = 205,022,795,556.03
  5. Step 5: Solve for x
    x = 205,022,795,556.03/323,129.25
  6. Step 6: Final answer
    x = 634,491.60

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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.