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Finding the Third Proportional to 232,910 and 474,380

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Solution

The third proportional to 232,910 and 474,380 is: 966,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,910 : 474,380 = 474,380 : x
  2. Step 2: Convert to fraction form
    232,910/474,380 = 474,380/x
  3. Step 3: Cross multiply
    232,910x = 474,380 × 474,380
  4. Step 4: Simplify right side
    232,910x = 225,036,384,400
  5. Step 5: Solve for x
    x = 225,036,384,400/232,910
  6. Step 6: Final answer
    x = 966,194.60

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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.