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Finding the Third Proportional to 325,842.75 and 681,459.75

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Solution

The third proportional to 325,842.75 and 681,459.75 is: 1,425,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,842.75 : 681,459.75 = 681,459.75 : x
  2. Step 2: Convert to fraction form
    325,842.75/681,459.75 = 681,459.75/x
  3. Step 3: Cross multiply
    325,842.75x = 681,459.75 × 681,459.75
  4. Step 4: Simplify right side
    325,842.75x = 464,387,390,870.06
  5. Step 5: Solve for x
    x = 464,387,390,870.06/325,842.75
  6. Step 6: Final answer
    x = 1,425,188.66

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