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Finding the Third Proportional to 512,816 and 796,101

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Solution

The third proportional to 512,816 and 796,101 is: 1,235,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,816 : 796,101 = 796,101 : x
  2. Step 2: Convert to fraction form
    512,816/796,101 = 796,101/x
  3. Step 3: Cross multiply
    512,816x = 796,101 × 796,101
  4. Step 4: Simplify right side
    512,816x = 633,776,802,201
  5. Step 5: Solve for x
    x = 633,776,802,201/512,816
  6. Step 6: Final answer
    x = 1,235,875.64

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Why These Related Problems?

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