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Finding the Third Proportional to 218,140 and 462,652

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Solution

The third proportional to 218,140 and 462,652 is: 981,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,140 : 462,652 = 462,652 : x
  2. Step 2: Convert to fraction form
    218,140/462,652 = 462,652/x
  3. Step 3: Cross multiply
    218,140x = 462,652 × 462,652
  4. Step 4: Simplify right side
    218,140x = 214,046,873,104
  5. Step 5: Solve for x
    x = 214,046,873,104/218,140
  6. Step 6: Final answer
    x = 981,236.24

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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.