Finding the Third Proportional to 575 and 680
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Solution
The third proportional to 575 and 680 is: 804.17
Step by Step Solution
- Step 1: Write the proportion equation
575 : 680 = 680 : x - Step 2: Convert to fraction form
575/680 = 680/x - Step 3: Cross multiply
575x = 680 × 680 - Step 4: Simplify right side
575x = 462,400 - Step 5: Solve for x
x = 462,400/575 - Step 6: Final answer
x = 804.17
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.