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Finding the Third Proportional to 405,879.25 and 880,922.25

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Solution

The third proportional to 405,879.25 and 880,922.25 is: 1,911,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,879.25 : 880,922.25 = 880,922.25 : x
  2. Step 2: Convert to fraction form
    405,879.25/880,922.25 = 880,922.25/x
  3. Step 3: Cross multiply
    405,879.25x = 880,922.25 × 880,922.25
  4. Step 4: Simplify right side
    405,879.25x = 776,024,010,545.06
  5. Step 5: Solve for x
    x = 776,024,010,545.06/405,879.25
  6. Step 6: Final answer
    x = 1,911,957.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.