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Finding the Third Proportional to 218,077.31 and 476,659.69

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Solution

The third proportional to 218,077.31 and 476,659.69 is: 1,041,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,077.31 : 476,659.69 = 476,659.69 : x
  2. Step 2: Convert to fraction form
    218,077.31/476,659.69 = 476,659.69/x
  3. Step 3: Cross multiply
    218,077.31x = 476,659.69 × 476,659.69
  4. Step 4: Simplify right side
    218,077.31x = 227,204,457,687.60
  5. Step 5: Solve for x
    x = 227,204,457,687.60/218,077.31
  6. Step 6: Final answer
    x = 1,041,852.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.