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Finding the Third Proportional to 310,188 and 467,874

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Solution

The third proportional to 310,188 and 467,874 is: 705,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,188 : 467,874 = 467,874 : x
  2. Step 2: Convert to fraction form
    310,188/467,874 = 467,874/x
  3. Step 3: Cross multiply
    310,188x = 467,874 × 467,874
  4. Step 4: Simplify right side
    310,188x = 218,906,079,876
  5. Step 5: Solve for x
    x = 218,906,079,876/310,188
  6. Step 6: Final answer
    x = 705,720.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.