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Finding the Third Proportional to 232,890 and 474,344

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Solution

The third proportional to 232,890 and 474,344 is: 966,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,890 : 474,344 = 474,344 : x
  2. Step 2: Convert to fraction form
    232,890/474,344 = 474,344/x
  3. Step 3: Cross multiply
    232,890x = 474,344 × 474,344
  4. Step 4: Simplify right side
    232,890x = 225,002,230,336
  5. Step 5: Solve for x
    x = 225,002,230,336/232,890
  6. Step 6: Final answer
    x = 966,130.92

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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.