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Finding the Third Proportional to 218,046.94 and 462,512.53

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Solution

The third proportional to 218,046.94 and 462,512.53 is: 981,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,046.94 : 462,512.53 = 462,512.53 : x
  2. Step 2: Convert to fraction form
    218,046.94/462,512.53 = 462,512.53/x
  3. Step 3: Cross multiply
    218,046.94x = 462,512.53 × 462,512.53
  4. Step 4: Simplify right side
    218,046.94x = 213,917,841,563.28
  5. Step 5: Solve for x
    x = 213,917,841,563.28/218,046.94
  6. Step 6: Final answer
    x = 981,063.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.