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Finding the Third Proportional to 311,368 and 481,632

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Solution

The third proportional to 311,368 and 481,632 is: 745,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,368 : 481,632 = 481,632 : x
  2. Step 2: Convert to fraction form
    311,368/481,632 = 481,632/x
  3. Step 3: Cross multiply
    311,368x = 481,632 × 481,632
  4. Step 4: Simplify right side
    311,368x = 231,969,383,424
  5. Step 5: Solve for x
    x = 231,969,383,424/311,368
  6. Step 6: Final answer
    x = 745,000.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.