Finding the Third Proportional to 733,786 and 978,478
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Solution
The third proportional to 733,786 and 978,478 is: 1,304,766.23
Step by Step Solution
- Step 1: Write the proportion equation
733,786 : 978,478 = 978,478 : x - Step 2: Convert to fraction form
733,786/978,478 = 978,478/x - Step 3: Cross multiply
733,786x = 978,478 × 978,478 - Step 4: Simplify right side
733,786x = 957,419,196,484 - Step 5: Solve for x
x = 957,419,196,484/733,786 - Step 6: Final answer
x = 1,304,766.23
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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.