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Finding the Third Proportional to 218,832 and 471,142

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Solution

The third proportional to 218,832 and 471,142 is: 1,014,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,832 : 471,142 = 471,142 : x
  2. Step 2: Convert to fraction form
    218,832/471,142 = 471,142/x
  3. Step 3: Cross multiply
    218,832x = 471,142 × 471,142
  4. Step 4: Simplify right side
    218,832x = 221,974,784,164
  5. Step 5: Solve for x
    x = 221,974,784,164/218,832
  6. Step 6: Final answer
    x = 1,014,361.63

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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.