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Finding the Third Proportional to 238,414.50 and 496,224

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Solution

The third proportional to 238,414.50 and 496,224 is: 1,032,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,414.50 : 496,224 = 496,224 : x
  2. Step 2: Convert to fraction form
    238,414.50/496,224 = 496,224/x
  3. Step 3: Cross multiply
    238,414.50x = 496,224 × 496,224
  4. Step 4: Simplify right side
    238,414.50x = 246,238,258,176
  5. Step 5: Solve for x
    x = 246,238,258,176/238,414.50
  6. Step 6: Final answer
    x = 1,032,815.78

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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.