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Finding the Third Proportional to 232,231 and 474,302

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Solution

The third proportional to 232,231 and 474,302 is: 968,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,231 : 474,302 = 474,302 : x
  2. Step 2: Convert to fraction form
    232,231/474,302 = 474,302/x
  3. Step 3: Cross multiply
    232,231x = 474,302 × 474,302
  4. Step 4: Simplify right side
    232,231x = 224,962,387,204
  5. Step 5: Solve for x
    x = 224,962,387,204/232,231
  6. Step 6: Final answer
    x = 968,700.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.