Finding the Third Proportional to 564 and 604
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Solution
The third proportional to 564 and 604 is: 646.84
Step by Step Solution
- Step 1: Write the proportion equation
564 : 604 = 604 : x - Step 2: Convert to fraction form
564/604 = 604/x - Step 3: Cross multiply
564x = 604 × 604 - Step 4: Simplify right side
564x = 364,816 - Step 5: Solve for x
x = 364,816/564 - Step 6: Final answer
x = 646.84
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.