Finding the Third Proportional to 327,328 and 706,304
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Solution
The third proportional to 327,328 and 706,304 is: 1,524,053.37
Step by Step Solution
- Step 1: Write the proportion equation
327,328 : 706,304 = 706,304 : x - Step 2: Convert to fraction form
327,328/706,304 = 706,304/x - Step 3: Cross multiply
327,328x = 706,304 × 706,304 - Step 4: Simplify right side
327,328x = 498,865,340,416 - Step 5: Solve for x
x = 498,865,340,416/327,328 - Step 6: Final answer
x = 1,524,053.37
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.