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Finding the Third Proportional to 311,069 and 496,143

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Solution

The third proportional to 311,069 and 496,143 is: 791,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 496,143 = 496,143 : x
  2. Step 2: Convert to fraction form
    311,069/496,143 = 496,143/x
  3. Step 3: Cross multiply
    311,069x = 496,143 × 496,143
  4. Step 4: Simplify right side
    311,069x = 246,157,876,449
  5. Step 5: Solve for x
    x = 246,157,876,449/311,069
  6. Step 6: Final answer
    x = 791,328.86

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