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Finding the Third Proportional to 308,986 and 413,844

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Solution

The third proportional to 308,986 and 413,844 is: 554,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,986 : 413,844 = 413,844 : x
  2. Step 2: Convert to fraction form
    308,986/413,844 = 413,844/x
  3. Step 3: Cross multiply
    308,986x = 413,844 × 413,844
  4. Step 4: Simplify right side
    308,986x = 171,266,856,336
  5. Step 5: Solve for x
    x = 171,266,856,336/308,986
  6. Step 6: Final answer
    x = 554,286.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.