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Finding the Third Proportional to 218,616 and 471,672

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Solution

The third proportional to 218,616 and 471,672 is: 1,017,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,616 : 471,672 = 471,672 : x
  2. Step 2: Convert to fraction form
    218,616/471,672 = 471,672/x
  3. Step 3: Cross multiply
    218,616x = 471,672 × 471,672
  4. Step 4: Simplify right side
    218,616x = 222,474,475,584
  5. Step 5: Solve for x
    x = 222,474,475,584/218,616
  6. Step 6: Final answer
    x = 1,017,649.56

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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.