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Finding the Third Proportional to 214,974 and 333,990

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Solution

The third proportional to 214,974 and 333,990 is: 518,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,974 : 333,990 = 333,990 : x
  2. Step 2: Convert to fraction form
    214,974/333,990 = 333,990/x
  3. Step 3: Cross multiply
    214,974x = 333,990 × 333,990
  4. Step 4: Simplify right side
    214,974x = 111,549,320,100
  5. Step 5: Solve for x
    x = 111,549,320,100/214,974
  6. Step 6: Final answer
    x = 518,896.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.