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Finding the Third Proportional to 325,851 and 681,496

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Solution

The third proportional to 325,851 and 681,496 is: 1,425,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,851 : 681,496 = 681,496 : x
  2. Step 2: Convert to fraction form
    325,851/681,496 = 681,496/x
  3. Step 3: Cross multiply
    325,851x = 681,496 × 681,496
  4. Step 4: Simplify right side
    325,851x = 464,436,798,016
  5. Step 5: Solve for x
    x = 464,436,798,016/325,851
  6. Step 6: Final answer
    x = 1,425,304.20

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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.