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Finding the Third Proportional to 311,696 and 441,048

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Solution

The third proportional to 311,696 and 441,048 is: 624,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,696 : 441,048 = 441,048 : x
  2. Step 2: Convert to fraction form
    311,696/441,048 = 441,048/x
  3. Step 3: Cross multiply
    311,696x = 441,048 × 441,048
  4. Step 4: Simplify right side
    311,696x = 194,523,338,304
  5. Step 5: Solve for x
    x = 194,523,338,304/311,696
  6. Step 6: Final answer
    x = 624,080.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.