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Finding the Third Proportional to 238,308 and 496,218

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Solution

The third proportional to 238,308 and 496,218 is: 1,033,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,308 : 496,218 = 496,218 : x
  2. Step 2: Convert to fraction form
    238,308/496,218 = 496,218/x
  3. Step 3: Cross multiply
    238,308x = 496,218 × 496,218
  4. Step 4: Simplify right side
    238,308x = 246,232,303,524
  5. Step 5: Solve for x
    x = 246,232,303,524/238,308
  6. Step 6: Final answer
    x = 1,033,252.36

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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.