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Finding the Third Proportional to 311,082 and 496,162

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Solution

The third proportional to 311,082 and 496,162 is: 791,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,082 : 496,162 = 496,162 : x
  2. Step 2: Convert to fraction form
    311,082/496,162 = 496,162/x
  3. Step 3: Cross multiply
    311,082x = 496,162 × 496,162
  4. Step 4: Simplify right side
    311,082x = 246,176,730,244
  5. Step 5: Solve for x
    x = 246,176,730,244/311,082
  6. Step 6: Final answer
    x = 791,356.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.