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Finding the Third Proportional to 333,717 and 691,090.50

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Solution

The third proportional to 333,717 and 691,090.50 is: 1,431,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,717 : 691,090.50 = 691,090.50 : x
  2. Step 2: Convert to fraction form
    333,717/691,090.50 = 691,090.50/x
  3. Step 3: Cross multiply
    333,717x = 691,090.50 × 691,090.50
  4. Step 4: Simplify right side
    333,717x = 477,606,079,190.25
  5. Step 5: Solve for x
    x = 477,606,079,190.25/333,717
  6. Step 6: Final answer
    x = 1,431,170.96

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.