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Finding the Third Proportional to 512,818 and 796,104

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Solution

The third proportional to 512,818 and 796,104 is: 1,235,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,818 : 796,104 = 796,104 : x
  2. Step 2: Convert to fraction form
    512,818/796,104 = 796,104/x
  3. Step 3: Cross multiply
    512,818x = 796,104 × 796,104
  4. Step 4: Simplify right side
    512,818x = 633,781,578,816
  5. Step 5: Solve for x
    x = 633,781,578,816/512,818
  6. Step 6: Final answer
    x = 1,235,880.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.