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Finding the Third Proportional to 218,828 and 471,132

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Solution

The third proportional to 218,828 and 471,132 is: 1,014,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,828 : 471,132 = 471,132 : x
  2. Step 2: Convert to fraction form
    218,828/471,132 = 471,132/x
  3. Step 3: Cross multiply
    218,828x = 471,132 × 471,132
  4. Step 4: Simplify right side
    218,828x = 221,965,361,424
  5. Step 5: Solve for x
    x = 221,965,361,424/218,828
  6. Step 6: Final answer
    x = 1,014,337.11

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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.