Finding the Third Proportional to 280,019 and 614,470
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Solution
The third proportional to 280,019 and 614,470 is: 1,348,384.86
Step by Step Solution
- Step 1: Write the proportion equation
280,019 : 614,470 = 614,470 : x - Step 2: Convert to fraction form
280,019/614,470 = 614,470/x - Step 3: Cross multiply
280,019x = 614,470 × 614,470 - Step 4: Simplify right side
280,019x = 377,573,380,900 - Step 5: Solve for x
x = 377,573,380,900/280,019 - Step 6: Final answer
x = 1,348,384.86
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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.