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Finding the Third Proportional to 232,900 and 484,232

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Solution

The third proportional to 232,900 and 484,232 is: 1,006,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,900 : 484,232 = 484,232 : x
  2. Step 2: Convert to fraction form
    232,900/484,232 = 484,232/x
  3. Step 3: Cross multiply
    232,900x = 484,232 × 484,232
  4. Step 4: Simplify right side
    232,900x = 234,480,629,824
  5. Step 5: Solve for x
    x = 234,480,629,824/232,900
  6. Step 6: Final answer
    x = 1,006,786.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.