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Finding the Third Proportional to 442,707.75 and 978,444

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Solution

The third proportional to 442,707.75 and 978,444 is: 2,162,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,707.75 : 978,444 = 978,444 : x
  2. Step 2: Convert to fraction form
    442,707.75/978,444 = 978,444/x
  3. Step 3: Cross multiply
    442,707.75x = 978,444 × 978,444
  4. Step 4: Simplify right side
    442,707.75x = 957,352,661,136
  5. Step 5: Solve for x
    x = 957,352,661,136/442,707.75
  6. Step 6: Final answer
    x = 2,162,493.57

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.