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Finding the Third Proportional to 311,966 and 683,304

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Solution

The third proportional to 311,966 and 683,304 is: 1,496,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,966 : 683,304 = 683,304 : x
  2. Step 2: Convert to fraction form
    311,966/683,304 = 683,304/x
  3. Step 3: Cross multiply
    311,966x = 683,304 × 683,304
  4. Step 4: Simplify right side
    311,966x = 466,904,356,416
  5. Step 5: Solve for x
    x = 466,904,356,416/311,966
  6. Step 6: Final answer
    x = 1,496,651.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.