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Finding the Third Proportional to 239,180 and 493,908

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Solution

The third proportional to 239,180 and 493,908 is: 1,019,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,180 : 493,908 = 493,908 : x
  2. Step 2: Convert to fraction form
    239,180/493,908 = 493,908/x
  3. Step 3: Cross multiply
    239,180x = 493,908 × 493,908
  4. Step 4: Simplify right side
    239,180x = 243,945,112,464
  5. Step 5: Solve for x
    x = 243,945,112,464/239,180
  6. Step 6: Final answer
    x = 1,019,922.70

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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.