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Finding the Third Proportional to 275,962 and 404,857

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Solution

The third proportional to 275,962 and 404,857 is: 593,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,962 : 404,857 = 404,857 : x
  2. Step 2: Convert to fraction form
    275,962/404,857 = 404,857/x
  3. Step 3: Cross multiply
    275,962x = 404,857 × 404,857
  4. Step 4: Simplify right side
    275,962x = 163,909,190,449
  5. Step 5: Solve for x
    x = 163,909,190,449/275,962
  6. Step 6: Final answer
    x = 593,955.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.