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Finding the Third Proportional to 270,993 and 590,241

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Solution

The third proportional to 270,993 and 590,241 is: 1,285,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,993 : 590,241 = 590,241 : x
  2. Step 2: Convert to fraction form
    270,993/590,241 = 590,241/x
  3. Step 3: Cross multiply
    270,993x = 590,241 × 590,241
  4. Step 4: Simplify right side
    270,993x = 348,384,438,081
  5. Step 5: Solve for x
    x = 348,384,438,081/270,993
  6. Step 6: Final answer
    x = 1,285,584.64

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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.