Finding the Third Proportional to 733,744 and 978,415
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Solution
The third proportional to 733,744 and 978,415 is: 1,304,672.90
Step by Step Solution
- Step 1: Write the proportion equation
733,744 : 978,415 = 978,415 : x - Step 2: Convert to fraction form
733,744/978,415 = 978,415/x - Step 3: Cross multiply
733,744x = 978,415 × 978,415 - Step 4: Simplify right side
733,744x = 957,295,912,225 - Step 5: Solve for x
x = 957,295,912,225/733,744 - Step 6: Final answer
x = 1,304,672.90
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.