Finding the Third Proportional to 342 and 732
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Solution
The third proportional to 342 and 732 is: 1,566.74
Step by Step Solution
- Step 1: Write the proportion equation
342 : 732 = 732 : x - Step 2: Convert to fraction form
342/732 = 732/x - Step 3: Cross multiply
342x = 732 × 732 - Step 4: Simplify right side
342x = 535,824 - Step 5: Solve for x
x = 535,824/342 - Step 6: Final answer
x = 1,566.74
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.