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Finding the Third Proportional to 300,233 and 659,515

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Solution

The third proportional to 300,233 and 659,515 is: 1,448,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,233 : 659,515 = 659,515 : x
  2. Step 2: Convert to fraction form
    300,233/659,515 = 659,515/x
  3. Step 3: Cross multiply
    300,233x = 659,515 × 659,515
  4. Step 4: Simplify right side
    300,233x = 434,960,035,225
  5. Step 5: Solve for x
    x = 434,960,035,225/300,233
  6. Step 6: Final answer
    x = 1,448,741.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.