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Finding the Third Proportional to 394,500 and 862,818

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Solution

The third proportional to 394,500 and 862,818 is: 1,887,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,500 : 862,818 = 862,818 : x
  2. Step 2: Convert to fraction form
    394,500/862,818 = 862,818/x
  3. Step 3: Cross multiply
    394,500x = 862,818 × 862,818
  4. Step 4: Simplify right side
    394,500x = 744,454,901,124
  5. Step 5: Solve for x
    x = 744,454,901,124/394,500
  6. Step 6: Final answer
    x = 1,887,084.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.