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Finding the Third Proportional to 204,702 and 444,369

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Solution

The third proportional to 204,702 and 444,369 is: 964,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,702 : 444,369 = 444,369 : x
  2. Step 2: Convert to fraction form
    204,702/444,369 = 444,369/x
  3. Step 3: Cross multiply
    204,702x = 444,369 × 444,369
  4. Step 4: Simplify right side
    204,702x = 197,463,808,161
  5. Step 5: Solve for x
    x = 197,463,808,161/204,702
  6. Step 6: Final answer
    x = 964,640.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.