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Finding the Third Proportional to 199,698 and 434,388

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Solution

The third proportional to 199,698 and 434,388 is: 944,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,698 : 434,388 = 434,388 : x
  2. Step 2: Convert to fraction form
    199,698/434,388 = 434,388/x
  3. Step 3: Cross multiply
    199,698x = 434,388 × 434,388
  4. Step 4: Simplify right side
    199,698x = 188,692,934,544
  5. Step 5: Solve for x
    x = 188,692,934,544/199,698
  6. Step 6: Final answer
    x = 944,891.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.