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Finding the Third Proportional to 311,559 and 677,793

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Solution

The third proportional to 311,559 and 677,793 is: 1,474,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,559 : 677,793 = 677,793 : x
  2. Step 2: Convert to fraction form
    311,559/677,793 = 677,793/x
  3. Step 3: Cross multiply
    311,559x = 677,793 × 677,793
  4. Step 4: Simplify right side
    311,559x = 459,403,350,849
  5. Step 5: Solve for x
    x = 459,403,350,849/311,559
  6. Step 6: Final answer
    x = 1,474,530.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.