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Finding the Third Proportional to 396,940.50 and 599,101.31

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Solution

The third proportional to 396,940.50 and 599,101.31 is: 904,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,940.50 : 599,101.31 = 599,101.31 : x
  2. Step 2: Convert to fraction form
    396,940.50/599,101.31 = 599,101.31/x
  3. Step 3: Cross multiply
    396,940.50x = 599,101.31 × 599,101.31
  4. Step 4: Simplify right side
    396,940.50x = 358,922,382,639.22
  5. Step 5: Solve for x
    x = 358,922,382,639.22/396,940.50
  6. Step 6: Final answer
    x = 904,222.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.