Finding the Third Proportional to 396 and 975
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Solution
The third proportional to 396 and 975 is: 2,400.57
Step by Step Solution
- Step 1: Write the proportion equation
396 : 975 = 975 : x - Step 2: Convert to fraction form
396/975 = 975/x - Step 3: Cross multiply
396x = 975 × 975 - Step 4: Simplify right side
396x = 950,625 - Step 5: Solve for x
x = 950,625/396 - Step 6: Final answer
x = 2,400.57
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These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.