Finding the Third Proportional to 278,738 and 420,718
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Solution
The third proportional to 278,738 and 420,718 is: 635,017.96
Step by Step Solution
- Step 1: Write the proportion equation
278,738 : 420,718 = 420,718 : x - Step 2: Convert to fraction form
278,738/420,718 = 420,718/x - Step 3: Cross multiply
278,738x = 420,718 × 420,718 - Step 4: Simplify right side
278,738x = 177,003,635,524 - Step 5: Solve for x
x = 177,003,635,524/278,738 - Step 6: Final answer
x = 635,017.96
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.