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Finding the Third Proportional to 303,704.44 and 659,836.13

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Solution

The third proportional to 303,704.44 and 659,836.13 is: 1,433,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,704.44 : 659,836.13 = 659,836.13 : x
  2. Step 2: Convert to fraction form
    303,704.44/659,836.13 = 659,836.13/x
  3. Step 3: Cross multiply
    303,704.44x = 659,836.13 × 659,836.13
  4. Step 4: Simplify right side
    303,704.44x = 435,383,711,855.02
  5. Step 5: Solve for x
    x = 435,383,711,855.02/303,704.44
  6. Step 6: Final answer
    x = 1,433,577.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.