Finding the Third Proportional to 256,330 and 560,910
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Solution
The third proportional to 256,330 and 560,910 is: 1,227,402.29
Step by Step Solution
- Step 1: Write the proportion equation
256,330 : 560,910 = 560,910 : x - Step 2: Convert to fraction form
256,330/560,910 = 560,910/x - Step 3: Cross multiply
256,330x = 560,910 × 560,910 - Step 4: Simplify right side
256,330x = 314,620,028,100 - Step 5: Solve for x
x = 314,620,028,100/256,330 - Step 6: Final answer
x = 1,227,402.29
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.