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Finding the Third Proportional to 204,249 and 447,255

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Solution

The third proportional to 204,249 and 447,255 is: 979,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,249 : 447,255 = 447,255 : x
  2. Step 2: Convert to fraction form
    204,249/447,255 = 447,255/x
  3. Step 3: Cross multiply
    204,249x = 447,255 × 447,255
  4. Step 4: Simplify right side
    204,249x = 200,037,035,025
  5. Step 5: Solve for x
    x = 200,037,035,025/204,249
  6. Step 6: Final answer
    x = 979,378.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.