Finding the Third Proportional to 355 and 770
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Solution
The third proportional to 355 and 770 is: 1,670.14
Step by Step Solution
- Step 1: Write the proportion equation
355 : 770 = 770 : x - Step 2: Convert to fraction form
355/770 = 770/x - Step 3: Cross multiply
355x = 770 × 770 - Step 4: Simplify right side
355x = 592,900 - Step 5: Solve for x
x = 592,900/355 - Step 6: Final answer
x = 1,670.14
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.