Finding the Third Proportional to 258,800 and 569,728
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Solution
The third proportional to 258,800 and 569,728 is: 1,254,211.72
Step by Step Solution
- Step 1: Write the proportion equation
258,800 : 569,728 = 569,728 : x - Step 2: Convert to fraction form
258,800/569,728 = 569,728/x - Step 3: Cross multiply
258,800x = 569,728 × 569,728 - Step 4: Simplify right side
258,800x = 324,589,993,984 - Step 5: Solve for x
x = 324,589,993,984/258,800 - Step 6: Final answer
x = 1,254,211.72
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.