Finding the Third Proportional to 259,920 and 566,816
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Solution
The third proportional to 259,920 and 566,816 is: 1,236,074.09
Step by Step Solution
- Step 1: Write the proportion equation
259,920 : 566,816 = 566,816 : x - Step 2: Convert to fraction form
259,920/566,816 = 566,816/x - Step 3: Cross multiply
259,920x = 566,816 × 566,816 - Step 4: Simplify right side
259,920x = 321,280,377,856 - Step 5: Solve for x
x = 321,280,377,856/259,920 - Step 6: Final answer
x = 1,236,074.09
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.