Finding the Third Proportional to 408 and 594
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Solution
The third proportional to 408 and 594 is: 864.79
Step by Step Solution
- Step 1: Write the proportion equation
408 : 594 = 594 : x - Step 2: Convert to fraction form
408/594 = 594/x - Step 3: Cross multiply
408x = 594 × 594 - Step 4: Simplify right side
408x = 352,836 - Step 5: Solve for x
x = 352,836/408 - Step 6: Final answer
x = 864.79
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.