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Finding the Third Proportional to 380,850.19 and 591,611.91

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Solution

The third proportional to 380,850.19 and 591,611.91 is: 919,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,850.19 : 591,611.91 = 591,611.91 : x
  2. Step 2: Convert to fraction form
    380,850.19/591,611.91 = 591,611.91/x
  3. Step 3: Cross multiply
    380,850.19x = 591,611.91 × 591,611.91
  4. Step 4: Simplify right side
    380,850.19x = 350,004,647,616.76
  5. Step 5: Solve for x
    x = 350,004,647,616.76/380,850.19
  6. Step 6: Final answer
    x = 919,008.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.