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Finding the Third Proportional to 268,539 and 585,012

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Solution

The third proportional to 268,539 and 585,012 is: 1,274,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,539 : 585,012 = 585,012 : x
  2. Step 2: Convert to fraction form
    268,539/585,012 = 585,012/x
  3. Step 3: Cross multiply
    268,539x = 585,012 × 585,012
  4. Step 4: Simplify right side
    268,539x = 342,239,040,144
  5. Step 5: Solve for x
    x = 342,239,040,144/268,539
  6. Step 6: Final answer
    x = 1,274,448.18

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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.