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Finding the Third Proportional to 244,219 and 520,696

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Solution

The third proportional to 244,219 and 520,696 is: 1,110,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,219 : 520,696 = 520,696 : x
  2. Step 2: Convert to fraction form
    244,219/520,696 = 520,696/x
  3. Step 3: Cross multiply
    244,219x = 520,696 × 520,696
  4. Step 4: Simplify right side
    244,219x = 271,124,324,416
  5. Step 5: Solve for x
    x = 271,124,324,416/244,219
  6. Step 6: Final answer
    x = 1,110,168.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.