Finding the Third Proportional to 576 and 658
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Solution
The third proportional to 576 and 658 is: 751.67
Step by Step Solution
- Step 1: Write the proportion equation
576 : 658 = 658 : x - Step 2: Convert to fraction form
576/658 = 658/x - Step 3: Cross multiply
576x = 658 × 658 - Step 4: Simplify right side
576x = 432,964 - Step 5: Solve for x
x = 432,964/576 - Step 6: Final answer
x = 751.67
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.