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Finding the Third Proportional to 238,274 and 523,932

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Solution

The third proportional to 238,274 and 523,932 is: 1,152,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,274 : 523,932 = 523,932 : x
  2. Step 2: Convert to fraction form
    238,274/523,932 = 523,932/x
  3. Step 3: Cross multiply
    238,274x = 523,932 × 523,932
  4. Step 4: Simplify right side
    238,274x = 274,504,740,624
  5. Step 5: Solve for x
    x = 274,504,740,624/238,274
  6. Step 6: Final answer
    x = 1,152,054.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.