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Finding the Third Proportional to 324,047 and 444,994

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Solution

The third proportional to 324,047 and 444,994 is: 611,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,047 : 444,994 = 444,994 : x
  2. Step 2: Convert to fraction form
    324,047/444,994 = 444,994/x
  3. Step 3: Cross multiply
    324,047x = 444,994 × 444,994
  4. Step 4: Simplify right side
    324,047x = 198,019,660,036
  5. Step 5: Solve for x
    x = 198,019,660,036/324,047
  6. Step 6: Final answer
    x = 611,083.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.