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Finding the Third Proportional to 281,328 and 599,558

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Solution

The third proportional to 281,328 and 599,558 is: 1,277,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,328 : 599,558 = 599,558 : x
  2. Step 2: Convert to fraction form
    281,328/599,558 = 599,558/x
  3. Step 3: Cross multiply
    281,328x = 599,558 × 599,558
  4. Step 4: Simplify right side
    281,328x = 359,469,795,364
  5. Step 5: Solve for x
    x = 359,469,795,364/281,328
  6. Step 6: Final answer
    x = 1,277,760.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.