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Finding the Third Proportional to 325,170 and 500,436

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Solution

The third proportional to 325,170 and 500,436 is: 770,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,170 : 500,436 = 500,436 : x
  2. Step 2: Convert to fraction form
    325,170/500,436 = 500,436/x
  3. Step 3: Cross multiply
    325,170x = 500,436 × 500,436
  4. Step 4: Simplify right side
    325,170x = 250,436,190,096
  5. Step 5: Solve for x
    x = 250,436,190,096/325,170
  6. Step 6: Final answer
    x = 770,170.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.