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Finding the Third Proportional to 311,680 and 441,024

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Solution

The third proportional to 311,680 and 441,024 is: 624,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,680 : 441,024 = 441,024 : x
  2. Step 2: Convert to fraction form
    311,680/441,024 = 441,024/x
  3. Step 3: Cross multiply
    311,680x = 441,024 × 441,024
  4. Step 4: Simplify right side
    311,680x = 194,502,168,576
  5. Step 5: Solve for x
    x = 194,502,168,576/311,680
  6. Step 6: Final answer
    x = 624,044.43

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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.