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Finding the Third Proportional to 215,828 and 469,462

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Solution

The third proportional to 215,828 and 469,462 is: 1,021,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,828 : 469,462 = 469,462 : x
  2. Step 2: Convert to fraction form
    215,828/469,462 = 469,462/x
  3. Step 3: Cross multiply
    215,828x = 469,462 × 469,462
  4. Step 4: Simplify right side
    215,828x = 220,394,569,444
  5. Step 5: Solve for x
    x = 220,394,569,444/215,828
  6. Step 6: Final answer
    x = 1,021,158.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.