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Finding the Third Proportional to 305,997 and 474,981

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Solution

The third proportional to 305,997 and 474,981 is: 737,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,997 : 474,981 = 474,981 : x
  2. Step 2: Convert to fraction form
    305,997/474,981 = 474,981/x
  3. Step 3: Cross multiply
    305,997x = 474,981 × 474,981
  4. Step 4: Simplify right side
    305,997x = 225,606,950,361
  5. Step 5: Solve for x
    x = 225,606,950,361/305,997
  6. Step 6: Final answer
    x = 737,284.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.