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Finding the Third Proportional to 215,745 and 469,366

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Solution

The third proportional to 215,745 and 469,366 is: 1,021,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,745 : 469,366 = 469,366 : x
  2. Step 2: Convert to fraction form
    215,745/469,366 = 469,366/x
  3. Step 3: Cross multiply
    215,745x = 469,366 × 469,366
  4. Step 4: Simplify right side
    215,745x = 220,304,441,956
  5. Step 5: Solve for x
    x = 220,304,441,956/215,745
  6. Step 6: Final answer
    x = 1,021,133.48

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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.