Finding the Third Proportional to 214,707 and 466,308
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Solution
The third proportional to 214,707 and 466,308 is: 1,012,743.65
Step by Step Solution
- Step 1: Write the proportion equation
214,707 : 466,308 = 466,308 : x - Step 2: Convert to fraction form
214,707/466,308 = 466,308/x - Step 3: Cross multiply
214,707x = 466,308 × 466,308 - Step 4: Simplify right side
214,707x = 217,443,150,864 - Step 5: Solve for x
x = 217,443,150,864/214,707 - Step 6: Final answer
x = 1,012,743.65
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.