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Finding the Third Proportional to 767,157.75 and 1,150,736.63

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Solution

The third proportional to 767,157.75 and 1,150,736.63 is: 1,726,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,157.75 : 1,150,736.63 = 1,150,736.63 : x
  2. Step 2: Convert to fraction form
    767,157.75/1,150,736.63 = 1,150,736.63/x
  3. Step 3: Cross multiply
    767,157.75x = 1,150,736.63 × 1,150,736.63
  4. Step 4: Simplify right side
    767,157.75x = 1,324,194,780,116.39
  5. Step 5: Solve for x
    x = 1,324,194,780,116.39/767,157.75
  6. Step 6: Final answer
    x = 1,726,104.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.