Finding the Third Proportional to 414 and 590
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Solution
The third proportional to 414 and 590 is: 840.82
Step by Step Solution
- Step 1: Write the proportion equation
414 : 590 = 590 : x - Step 2: Convert to fraction form
414/590 = 590/x - Step 3: Cross multiply
414x = 590 × 590 - Step 4: Simplify right side
414x = 348,100 - Step 5: Solve for x
x = 348,100/414 - Step 6: Final answer
x = 840.82
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.