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Finding the Third Proportional to 311,311 and 466,966

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Solution

The third proportional to 311,311 and 466,966 is: 700,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,311 : 466,966 = 466,966 : x
  2. Step 2: Convert to fraction form
    311,311/466,966 = 466,966/x
  3. Step 3: Cross multiply
    311,311x = 466,966 × 466,966
  4. Step 4: Simplify right side
    311,311x = 218,057,245,156
  5. Step 5: Solve for x
    x = 218,057,245,156/311,311
  6. Step 6: Final answer
    x = 700,448.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.