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Finding the Third Proportional to 325,841 and 691,012

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Solution

The third proportional to 325,841 and 691,012 is: 1,465,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,841 : 691,012 = 691,012 : x
  2. Step 2: Convert to fraction form
    325,841/691,012 = 691,012/x
  3. Step 3: Cross multiply
    325,841x = 691,012 × 691,012
  4. Step 4: Simplify right side
    325,841x = 477,497,584,144
  5. Step 5: Solve for x
    x = 477,497,584,144/325,841
  6. Step 6: Final answer
    x = 1,465,431.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.