Finding the Third Proportional to 405 and 952
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Solution
The third proportional to 405 and 952 is: 2,237.79
Step by Step Solution
- Step 1: Write the proportion equation
405 : 952 = 952 : x - Step 2: Convert to fraction form
405/952 = 952/x - Step 3: Cross multiply
405x = 952 × 952 - Step 4: Simplify right side
405x = 906,304 - Step 5: Solve for x
x = 906,304/405 - Step 6: Final answer
x = 2,237.79
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.