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Finding the Third Proportional to 218,349 and 471,177

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Solution

The third proportional to 218,349 and 471,177 is: 1,016,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,349 : 471,177 = 471,177 : x
  2. Step 2: Convert to fraction form
    218,349/471,177 = 471,177/x
  3. Step 3: Cross multiply
    218,349x = 471,177 × 471,177
  4. Step 4: Simplify right side
    218,349x = 222,007,765,329
  5. Step 5: Solve for x
    x = 222,007,765,329/218,349
  6. Step 6: Final answer
    x = 1,016,756.50

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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.