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Finding the Third Proportional to 219,462 and 512,799

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Solution

The third proportional to 219,462 and 512,799 is: 1,198,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,462 : 512,799 = 512,799 : x
  2. Step 2: Convert to fraction form
    219,462/512,799 = 512,799/x
  3. Step 3: Cross multiply
    219,462x = 512,799 × 512,799
  4. Step 4: Simplify right side
    219,462x = 262,962,814,401
  5. Step 5: Solve for x
    x = 262,962,814,401/219,462
  6. Step 6: Final answer
    x = 1,198,215.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.