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Finding the Third Proportional to 204,784 and 305,593

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Solution

The third proportional to 204,784 and 305,593 is: 456,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,784 : 305,593 = 305,593 : x
  2. Step 2: Convert to fraction form
    204,784/305,593 = 305,593/x
  3. Step 3: Cross multiply
    204,784x = 305,593 × 305,593
  4. Step 4: Simplify right side
    204,784x = 93,387,081,649
  5. Step 5: Solve for x
    x = 93,387,081,649/204,784
  6. Step 6: Final answer
    x = 456,027.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.