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Finding the Third Proportional to 319,992 and 691,297.50

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Solution

The third proportional to 319,992 and 691,297.50 is: 1,493,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,992 : 691,297.50 = 691,297.50 : x
  2. Step 2: Convert to fraction form
    319,992/691,297.50 = 691,297.50/x
  3. Step 3: Cross multiply
    319,992x = 691,297.50 × 691,297.50
  4. Step 4: Simplify right side
    319,992x = 477,892,233,506.25
  5. Step 5: Solve for x
    x = 477,892,233,506.25/319,992
  6. Step 6: Final answer
    x = 1,493,450.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.