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Finding the Third Proportional to 238,318 and 496,238

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Solution

The third proportional to 238,318 and 496,238 is: 1,033,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,318 : 496,238 = 496,238 : x
  2. Step 2: Convert to fraction form
    238,318/496,238 = 496,238/x
  3. Step 3: Cross multiply
    238,318x = 496,238 × 496,238
  4. Step 4: Simplify right side
    238,318x = 246,252,152,644
  5. Step 5: Solve for x
    x = 246,252,152,644/238,318
  6. Step 6: Final answer
    x = 1,033,292.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.