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Finding the Third Proportional to 350,296 and 554,766

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Solution

The third proportional to 350,296 and 554,766 is: 878,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,296 : 554,766 = 554,766 : x
  2. Step 2: Convert to fraction form
    350,296/554,766 = 554,766/x
  3. Step 3: Cross multiply
    350,296x = 554,766 × 554,766
  4. Step 4: Simplify right side
    350,296x = 307,765,314,756
  5. Step 5: Solve for x
    x = 307,765,314,756/350,296
  6. Step 6: Final answer
    x = 878,586.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.