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Finding the Third Proportional to 363,170 and 770,260

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Solution

The third proportional to 363,170 and 770,260 is: 1,633,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,170 : 770,260 = 770,260 : x
  2. Step 2: Convert to fraction form
    363,170/770,260 = 770,260/x
  3. Step 3: Cross multiply
    363,170x = 770,260 × 770,260
  4. Step 4: Simplify right side
    363,170x = 593,300,467,600
  5. Step 5: Solve for x
    x = 593,300,467,600/363,170
  6. Step 6: Final answer
    x = 1,633,671.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.