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Finding the Third Proportional to 239,194 and 493,936

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Solution

The third proportional to 239,194 and 493,936 is: 1,019,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,194 : 493,936 = 493,936 : x
  2. Step 2: Convert to fraction form
    239,194/493,936 = 493,936/x
  3. Step 3: Cross multiply
    239,194x = 493,936 × 493,936
  4. Step 4: Simplify right side
    239,194x = 243,972,772,096
  5. Step 5: Solve for x
    x = 243,972,772,096/239,194
  6. Step 6: Final answer
    x = 1,019,978.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.