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Finding the Third Proportional to 444,116.25 and 976,785.75

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Solution

The third proportional to 444,116.25 and 976,785.75 is: 2,148,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,116.25 : 976,785.75 = 976,785.75 : x
  2. Step 2: Convert to fraction form
    444,116.25/976,785.75 = 976,785.75/x
  3. Step 3: Cross multiply
    444,116.25x = 976,785.75 × 976,785.75
  4. Step 4: Simplify right side
    444,116.25x = 954,110,401,403.06
  5. Step 5: Solve for x
    x = 954,110,401,403.06/444,116.25
  6. Step 6: Final answer
    x = 2,148,334.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.