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Finding the Third Proportional to 232,208 and 474,255

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Solution

The third proportional to 232,208 and 474,255 is: 968,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,208 : 474,255 = 474,255 : x
  2. Step 2: Convert to fraction form
    232,208/474,255 = 474,255/x
  3. Step 3: Cross multiply
    232,208x = 474,255 × 474,255
  4. Step 4: Simplify right side
    232,208x = 224,917,805,025
  5. Step 5: Solve for x
    x = 224,917,805,025/232,208
  6. Step 6: Final answer
    x = 968,604.89

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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.