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Finding the Third Proportional to 331,177 and 737,300

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Solution

The third proportional to 331,177 and 737,300 is: 1,641,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,177 : 737,300 = 737,300 : x
  2. Step 2: Convert to fraction form
    331,177/737,300 = 737,300/x
  3. Step 3: Cross multiply
    331,177x = 737,300 × 737,300
  4. Step 4: Simplify right side
    331,177x = 543,611,290,000
  5. Step 5: Solve for x
    x = 543,611,290,000/331,177
  6. Step 6: Final answer
    x = 1,641,452.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.