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Finding the Third Proportional to 407,166.75 and 889,764.75

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Solution

The third proportional to 407,166.75 and 889,764.75 is: 1,944,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,166.75 : 889,764.75 = 889,764.75 : x
  2. Step 2: Convert to fraction form
    407,166.75/889,764.75 = 889,764.75/x
  3. Step 3: Cross multiply
    407,166.75x = 889,764.75 × 889,764.75
  4. Step 4: Simplify right side
    407,166.75x = 791,681,310,342.56
  5. Step 5: Solve for x
    x = 791,681,310,342.56/407,166.75
  6. Step 6: Final answer
    x = 1,944,366.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.