Finding the Third Proportional to 541 and 1,026
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Solution
The third proportional to 541 and 1,026 is: 1,945.80
Step by Step Solution
- Step 1: Write the proportion equation
541 : 1,026 = 1,026 : x - Step 2: Convert to fraction form
541/1,026 = 1,026/x - Step 3: Cross multiply
541x = 1,026 × 1,026 - Step 4: Simplify right side
541x = 1,052,676 - Step 5: Solve for x
x = 1,052,676/541 - Step 6: Final answer
x = 1,945.80
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.