Finding the Third Proportional to 364 and 642
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Solution
The third proportional to 364 and 642 is: 1,132.32
Step by Step Solution
- Step 1: Write the proportion equation
364 : 642 = 642 : x - Step 2: Convert to fraction form
364/642 = 642/x - Step 3: Cross multiply
364x = 642 × 642 - Step 4: Simplify right side
364x = 412,164 - Step 5: Solve for x
x = 412,164/364 - Step 6: Final answer
x = 1,132.32
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.