Finding the Third Proportional to 277,314 and 567,770
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Solution
The third proportional to 277,314 and 567,770 is: 1,162,446.80
Step by Step Solution
- Step 1: Write the proportion equation
277,314 : 567,770 = 567,770 : x - Step 2: Convert to fraction form
277,314/567,770 = 567,770/x - Step 3: Cross multiply
277,314x = 567,770 × 567,770 - Step 4: Simplify right side
277,314x = 322,362,772,900 - Step 5: Solve for x
x = 322,362,772,900/277,314 - Step 6: Final answer
x = 1,162,446.80
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.