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Finding the Third Proportional to 512,842 and 796,143

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Solution

The third proportional to 512,842 and 796,143 is: 1,235,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,842 : 796,143 = 796,143 : x
  2. Step 2: Convert to fraction form
    512,842/796,143 = 796,143/x
  3. Step 3: Cross multiply
    512,842x = 796,143 × 796,143
  4. Step 4: Simplify right side
    512,842x = 633,843,676,449
  5. Step 5: Solve for x
    x = 633,843,676,449/512,842
  6. Step 6: Final answer
    x = 1,235,943.38

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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.