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Finding the Third Proportional to 311,317 and 466,980

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Solution

The third proportional to 311,317 and 466,980 is: 700,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,317 : 466,980 = 466,980 : x
  2. Step 2: Convert to fraction form
    311,317/466,980 = 466,980/x
  3. Step 3: Cross multiply
    311,317x = 466,980 × 466,980
  4. Step 4: Simplify right side
    311,317x = 218,070,320,400
  5. Step 5: Solve for x
    x = 218,070,320,400/311,317
  6. Step 6: Final answer
    x = 700,476.75

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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.