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Finding the Third Proportional to 218,736 and 471,612

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Solution

The third proportional to 218,736 and 471,612 is: 1,016,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,736 : 471,612 = 471,612 : x
  2. Step 2: Convert to fraction form
    218,736/471,612 = 471,612/x
  3. Step 3: Cross multiply
    218,736x = 471,612 × 471,612
  4. Step 4: Simplify right side
    218,736x = 222,417,878,544
  5. Step 5: Solve for x
    x = 222,417,878,544/218,736
  6. Step 6: Final answer
    x = 1,016,832.52

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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.