Finding the Third Proportional to 412 and 978
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Solution
The third proportional to 412 and 978 is: 2,321.56
Step by Step Solution
- Step 1: Write the proportion equation
412 : 978 = 978 : x - Step 2: Convert to fraction form
412/978 = 978/x - Step 3: Cross multiply
412x = 978 × 978 - Step 4: Simplify right side
412x = 956,484 - Step 5: Solve for x
x = 956,484/412 - Step 6: Final answer
x = 2,321.56
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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.