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Finding the Third Proportional to 308,309.25 and 672,497.25

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Solution

The third proportional to 308,309.25 and 672,497.25 is: 1,466,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,309.25 : 672,497.25 = 672,497.25 : x
  2. Step 2: Convert to fraction form
    308,309.25/672,497.25 = 672,497.25/x
  3. Step 3: Cross multiply
    308,309.25x = 672,497.25 × 672,497.25
  4. Step 4: Simplify right side
    308,309.25x = 452,252,551,257.56
  5. Step 5: Solve for x
    x = 452,252,551,257.56/308,309.25
  6. Step 6: Final answer
    x = 1,466,879.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.