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Finding the Third Proportional to 215,694 and 453,744

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Solution

The third proportional to 215,694 and 453,744 is: 954,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,694 : 453,744 = 453,744 : x
  2. Step 2: Convert to fraction form
    215,694/453,744 = 453,744/x
  3. Step 3: Cross multiply
    215,694x = 453,744 × 453,744
  4. Step 4: Simplify right side
    215,694x = 205,883,617,536
  5. Step 5: Solve for x
    x = 205,883,617,536/215,694
  6. Step 6: Final answer
    x = 954,517.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.