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Finding the Third Proportional to 311,314 and 466,971

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Solution

The third proportional to 311,314 and 466,971 is: 700,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,314 : 466,971 = 466,971 : x
  2. Step 2: Convert to fraction form
    311,314/466,971 = 466,971/x
  3. Step 3: Cross multiply
    311,314x = 466,971 × 466,971
  4. Step 4: Simplify right side
    311,314x = 218,061,914,841
  5. Step 5: Solve for x
    x = 218,061,914,841/311,314
  6. Step 6: Final answer
    x = 700,456.50

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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.