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Finding the Third Proportional to 196,794 and 430,524

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Solution

The third proportional to 196,794 and 430,524 is: 941,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,794 : 430,524 = 430,524 : x
  2. Step 2: Convert to fraction form
    196,794/430,524 = 430,524/x
  3. Step 3: Cross multiply
    196,794x = 430,524 × 430,524
  4. Step 4: Simplify right side
    196,794x = 185,350,914,576
  5. Step 5: Solve for x
    x = 185,350,914,576/196,794
  6. Step 6: Final answer
    x = 941,852.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.