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Finding the Third Proportional to 325,839 and 681,454

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Solution

The third proportional to 325,839 and 681,454 is: 1,425,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,839 : 681,454 = 681,454 : x
  2. Step 2: Convert to fraction form
    325,839/681,454 = 681,454/x
  3. Step 3: Cross multiply
    325,839x = 681,454 × 681,454
  4. Step 4: Simplify right side
    325,839x = 464,379,554,116
  5. Step 5: Solve for x
    x = 464,379,554,116/325,839
  6. Step 6: Final answer
    x = 1,425,181.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.