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Finding the Third Proportional to 204,723 and 313,569

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Solution

The third proportional to 204,723 and 313,569 is: 480,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,723 : 313,569 = 313,569 : x
  2. Step 2: Convert to fraction form
    204,723/313,569 = 313,569/x
  3. Step 3: Cross multiply
    204,723x = 313,569 × 313,569
  4. Step 4: Simplify right side
    204,723x = 98,325,517,761
  5. Step 5: Solve for x
    x = 98,325,517,761/204,723
  6. Step 6: Final answer
    x = 480,285.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.