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Finding the Third Proportional to 218,944 and 471,651

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Solution

The third proportional to 218,944 and 471,651 is: 1,016,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,944 : 471,651 = 471,651 : x
  2. Step 2: Convert to fraction form
    218,944/471,651 = 471,651/x
  3. Step 3: Cross multiply
    218,944x = 471,651 × 471,651
  4. Step 4: Simplify right side
    218,944x = 222,454,665,801
  5. Step 5: Solve for x
    x = 222,454,665,801/218,944
  6. Step 6: Final answer
    x = 1,016,034.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.