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Finding the Third Proportional to 364,383.75 and 847,074.75

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Solution

The third proportional to 364,383.75 and 847,074.75 is: 1,969,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,383.75 : 847,074.75 = 847,074.75 : x
  2. Step 2: Convert to fraction form
    364,383.75/847,074.75 = 847,074.75/x
  3. Step 3: Cross multiply
    364,383.75x = 847,074.75 × 847,074.75
  4. Step 4: Simplify right side
    364,383.75x = 717,535,632,087.56
  5. Step 5: Solve for x
    x = 717,535,632,087.56/364,383.75
  6. Step 6: Final answer
    x = 1,969,175.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.