Finding the Third Proportional to 213,284 and 466,744
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Solution
The third proportional to 213,284 and 466,744 is: 1,021,407.90
Step by Step Solution
- Step 1: Write the proportion equation
213,284 : 466,744 = 466,744 : x - Step 2: Convert to fraction form
213,284/466,744 = 466,744/x - Step 3: Cross multiply
213,284x = 466,744 × 466,744 - Step 4: Simplify right side
213,284x = 217,849,961,536 - Step 5: Solve for x
x = 217,849,961,536/213,284 - Step 6: Final answer
x = 1,021,407.90
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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.