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Finding the Third Proportional to 220,086.75 and 457,392.75

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Solution

The third proportional to 220,086.75 and 457,392.75 is: 950,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,086.75 : 457,392.75 = 457,392.75 : x
  2. Step 2: Convert to fraction form
    220,086.75/457,392.75 = 457,392.75/x
  3. Step 3: Cross multiply
    220,086.75x = 457,392.75 × 457,392.75
  4. Step 4: Simplify right side
    220,086.75x = 209,208,127,752.56
  5. Step 5: Solve for x
    x = 209,208,127,752.56/220,086.75
  6. Step 6: Final answer
    x = 950,571.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.