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Finding the Third Proportional to 416,605.36 and 892,258.45

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Solution

The third proportional to 416,605.36 and 892,258.45 is: 1,910,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,605.36 : 892,258.45 = 892,258.45 : x
  2. Step 2: Convert to fraction form
    416,605.36/892,258.45 = 892,258.45/x
  3. Step 3: Cross multiply
    416,605.36x = 892,258.45 × 892,258.45
  4. Step 4: Simplify right side
    416,605.36x = 796,125,147,173.02
  5. Step 5: Solve for x
    x = 796,125,147,173.02/416,605.36
  6. Step 6: Final answer
    x = 1,910,981.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.