Finding the Third Proportional to 258 and 638
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Solution
The third proportional to 258 and 638 is: 1,577.69
Step by Step Solution
- Step 1: Write the proportion equation
258 : 638 = 638 : x - Step 2: Convert to fraction form
258/638 = 638/x - Step 3: Cross multiply
258x = 638 × 638 - Step 4: Simplify right side
258x = 407,044 - Step 5: Solve for x
x = 407,044/258 - Step 6: Final answer
x = 1,577.69
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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.