Finding the Third Proportional to 376 and 538
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Solution
The third proportional to 376 and 538 is: 769.80
Step by Step Solution
- Step 1: Write the proportion equation
376 : 538 = 538 : x - Step 2: Convert to fraction form
376/538 = 538/x - Step 3: Cross multiply
376x = 538 × 538 - Step 4: Simplify right side
376x = 289,444 - Step 5: Solve for x
x = 289,444/376 - Step 6: Final answer
x = 769.80
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.