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Finding the Third Proportional to 229,974 and 494,940

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Solution

The third proportional to 229,974 and 494,940 is: 1,065,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,974 : 494,940 = 494,940 : x
  2. Step 2: Convert to fraction form
    229,974/494,940 = 494,940/x
  3. Step 3: Cross multiply
    229,974x = 494,940 × 494,940
  4. Step 4: Simplify right side
    229,974x = 244,965,603,600
  5. Step 5: Solve for x
    x = 244,965,603,600/229,974
  6. Step 6: Final answer
    x = 1,065,188.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.