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Finding the Third Proportional to 311,069 and 466,848

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Solution

The third proportional to 311,069 and 466,848 is: 700,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 466,848 = 466,848 : x
  2. Step 2: Convert to fraction form
    311,069/466,848 = 466,848/x
  3. Step 3: Cross multiply
    311,069x = 466,848 × 466,848
  4. Step 4: Simplify right side
    311,069x = 217,947,055,104
  5. Step 5: Solve for x
    x = 217,947,055,104/311,069
  6. Step 6: Final answer
    x = 700,638.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.