Finding the Third Proportional to 585 and 845
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Solution
The third proportional to 585 and 845 is: 1,220.56
Step by Step Solution
- Step 1: Write the proportion equation
585 : 845 = 845 : x - Step 2: Convert to fraction form
585/845 = 845/x - Step 3: Cross multiply
585x = 845 × 845 - Step 4: Simplify right side
585x = 714,025 - Step 5: Solve for x
x = 714,025/585 - Step 6: Final answer
x = 1,220.56
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.