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Finding the Third Proportional to 362,676 and 789,876

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Solution

The third proportional to 362,676 and 789,876 is: 1,720,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,676 : 789,876 = 789,876 : x
  2. Step 2: Convert to fraction form
    362,676/789,876 = 789,876/x
  3. Step 3: Cross multiply
    362,676x = 789,876 × 789,876
  4. Step 4: Simplify right side
    362,676x = 623,904,095,376
  5. Step 5: Solve for x
    x = 623,904,095,376/362,676
  6. Step 6: Final answer
    x = 1,720,279.52

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Why These Related Problems?

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