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Finding the Third Proportional to 350,785.69 and 757,704.38

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Solution

The third proportional to 350,785.69 and 757,704.38 is: 1,636,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,785.69 : 757,704.38 = 757,704.38 : x
  2. Step 2: Convert to fraction form
    350,785.69/757,704.38 = 757,704.38/x
  3. Step 3: Cross multiply
    350,785.69x = 757,704.38 × 757,704.38
  4. Step 4: Simplify right side
    350,785.69x = 574,115,919,894.14
  5. Step 5: Solve for x
    x = 574,115,919,894.14/350,785.69
  6. Step 6: Final answer
    x = 1,636,657.20

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Why These Related Problems?

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