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Finding the Third Proportional to 310,493 and 467,274

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Solution

The third proportional to 310,493 and 467,274 is: 703,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,493 : 467,274 = 467,274 : x
  2. Step 2: Convert to fraction form
    310,493/467,274 = 467,274/x
  3. Step 3: Cross multiply
    310,493x = 467,274 × 467,274
  4. Step 4: Simplify right side
    310,493x = 218,344,991,076
  5. Step 5: Solve for x
    x = 218,344,991,076/310,493
  6. Step 6: Final answer
    x = 703,220.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.