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Finding the Third Proportional to 218,360.25 and 462,964.13

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Solution

The third proportional to 218,360.25 and 462,964.13 is: 981,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,360.25 : 462,964.13 = 462,964.13 : x
  2. Step 2: Convert to fraction form
    218,360.25/462,964.13 = 462,964.13/x
  3. Step 3: Cross multiply
    218,360.25x = 462,964.13 × 462,964.13
  4. Step 4: Simplify right side
    218,360.25x = 214,335,781,037.02
  5. Step 5: Solve for x
    x = 214,335,781,037.02/218,360.25
  6. Step 6: Final answer
    x = 981,569.59

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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.