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Finding the Third Proportional to 311,899.50 and 635,103

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Solution

The third proportional to 311,899.50 and 635,103 is: 1,293,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,899.50 : 635,103 = 635,103 : x
  2. Step 2: Convert to fraction form
    311,899.50/635,103 = 635,103/x
  3. Step 3: Cross multiply
    311,899.50x = 635,103 × 635,103
  4. Step 4: Simplify right side
    311,899.50x = 403,355,820,609
  5. Step 5: Solve for x
    x = 403,355,820,609/311,899.50
  6. Step 6: Final answer
    x = 1,293,223.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.