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Finding the Third Proportional to 212,912 and 333,994

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Solution

The third proportional to 212,912 and 333,994 is: 523,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,912 : 333,994 = 333,994 : x
  2. Step 2: Convert to fraction form
    212,912/333,994 = 333,994/x
  3. Step 3: Cross multiply
    212,912x = 333,994 × 333,994
  4. Step 4: Simplify right side
    212,912x = 111,551,992,036
  5. Step 5: Solve for x
    x = 111,551,992,036/212,912
  6. Step 6: Final answer
    x = 523,934.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.