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Finding the Third Proportional to 197,452.69 and 426,399.19

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Solution

The third proportional to 197,452.69 and 426,399.19 is: 920,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,452.69 : 426,399.19 = 426,399.19 : x
  2. Step 2: Convert to fraction form
    197,452.69/426,399.19 = 426,399.19/x
  3. Step 3: Cross multiply
    197,452.69x = 426,399.19 × 426,399.19
  4. Step 4: Simplify right side
    197,452.69x = 181,816,267,100.66
  5. Step 5: Solve for x
    x = 181,816,267,100.66/197,452.69
  6. Step 6: Final answer
    x = 920,809.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.