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Finding the Third Proportional to 218,932 and 472,063

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Solution

The third proportional to 218,932 and 472,063 is: 1,017,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,932 : 472,063 = 472,063 : x
  2. Step 2: Convert to fraction form
    218,932/472,063 = 472,063/x
  3. Step 3: Cross multiply
    218,932x = 472,063 × 472,063
  4. Step 4: Simplify right side
    218,932x = 222,843,475,969
  5. Step 5: Solve for x
    x = 222,843,475,969/218,932
  6. Step 6: Final answer
    x = 1,017,866.17

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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.