Finding the Third Proportional to 542 and 794
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Solution
The third proportional to 542 and 794 is: 1,163.17
Step by Step Solution
- Step 1: Write the proportion equation
542 : 794 = 794 : x - Step 2: Convert to fraction form
542/794 = 794/x - Step 3: Cross multiply
542x = 794 × 794 - Step 4: Simplify right side
542x = 630,436 - Step 5: Solve for x
x = 630,436/542 - Step 6: Final answer
x = 1,163.17
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.