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Finding the Third Proportional to 311,857 and 656,315

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Solution

The third proportional to 311,857 and 656,315 is: 1,381,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,857 : 656,315 = 656,315 : x
  2. Step 2: Convert to fraction form
    311,857/656,315 = 656,315/x
  3. Step 3: Cross multiply
    311,857x = 656,315 × 656,315
  4. Step 4: Simplify right side
    311,857x = 430,749,379,225
  5. Step 5: Solve for x
    x = 430,749,379,225/311,857
  6. Step 6: Final answer
    x = 1,381,240.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.