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Finding the Third Proportional to 319,989 and 691,221.75

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Solution

The third proportional to 319,989 and 691,221.75 is: 1,493,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,989 : 691,221.75 = 691,221.75 : x
  2. Step 2: Convert to fraction form
    319,989/691,221.75 = 691,221.75/x
  3. Step 3: Cross multiply
    319,989x = 691,221.75 × 691,221.75
  4. Step 4: Simplify right side
    319,989x = 477,787,507,673.06
  5. Step 5: Solve for x
    x = 477,787,507,673.06/319,989
  6. Step 6: Final answer
    x = 1,493,137.29

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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.