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Finding the Third Proportional to 218,756 and 471,655

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Solution

The third proportional to 218,756 and 471,655 is: 1,016,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,756 : 471,655 = 471,655 : x
  2. Step 2: Convert to fraction form
    218,756/471,655 = 471,655/x
  3. Step 3: Cross multiply
    218,756x = 471,655 × 471,655
  4. Step 4: Simplify right side
    218,756x = 222,458,439,025
  5. Step 5: Solve for x
    x = 222,458,439,025/218,756
  6. Step 6: Final answer
    x = 1,016,924.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.