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Finding the Third Proportional to 244,220 and 520,698

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Solution

The third proportional to 244,220 and 520,698 is: 1,110,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,220 : 520,698 = 520,698 : x
  2. Step 2: Convert to fraction form
    244,220/520,698 = 520,698/x
  3. Step 3: Cross multiply
    244,220x = 520,698 × 520,698
  4. Step 4: Simplify right side
    244,220x = 271,126,407,204
  5. Step 5: Solve for x
    x = 271,126,407,204/244,220
  6. Step 6: Final answer
    x = 1,110,172.82

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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.