Finding the Third Proportional to 284 and 692
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Solution
The third proportional to 284 and 692 is: 1,686.14
Step by Step Solution
- Step 1: Write the proportion equation
284 : 692 = 692 : x - Step 2: Convert to fraction form
284/692 = 692/x - Step 3: Cross multiply
284x = 692 × 692 - Step 4: Simplify right side
284x = 478,864 - Step 5: Solve for x
x = 478,864/284 - Step 6: Final answer
x = 1,686.14
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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.