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Finding the Third Proportional to 300,370 and 419,937

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Solution

The third proportional to 300,370 and 419,937 is: 587,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,370 : 419,937 = 419,937 : x
  2. Step 2: Convert to fraction form
    300,370/419,937 = 419,937/x
  3. Step 3: Cross multiply
    300,370x = 419,937 × 419,937
  4. Step 4: Simplify right side
    300,370x = 176,347,083,969
  5. Step 5: Solve for x
    x = 176,347,083,969/300,370
  6. Step 6: Final answer
    x = 587,099.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.