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Finding the Third Proportional to 361,999 and 779,234

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Solution

The third proportional to 361,999 and 779,234 is: 1,677,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,999 : 779,234 = 779,234 : x
  2. Step 2: Convert to fraction form
    361,999/779,234 = 779,234/x
  3. Step 3: Cross multiply
    361,999x = 779,234 × 779,234
  4. Step 4: Simplify right side
    361,999x = 607,205,626,756
  5. Step 5: Solve for x
    x = 607,205,626,756/361,999
  6. Step 6: Final answer
    x = 1,677,368.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.