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Finding the Third Proportional to 405,198 and 873,240.75

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Solution

The third proportional to 405,198 and 873,240.75 is: 1,881,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,198 : 873,240.75 = 873,240.75 : x
  2. Step 2: Convert to fraction form
    405,198/873,240.75 = 873,240.75/x
  3. Step 3: Cross multiply
    405,198x = 873,240.75 × 873,240.75
  4. Step 4: Simplify right side
    405,198x = 762,549,407,460.56
  5. Step 5: Solve for x
    x = 762,549,407,460.56/405,198
  6. Step 6: Final answer
    x = 1,881,917.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.