Finding the Third Proportional to 215,516 and 469,012
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Solution
The third proportional to 215,516 and 469,012 is: 1,020,677.15
Step by Step Solution
- Step 1: Write the proportion equation
215,516 : 469,012 = 469,012 : x - Step 2: Convert to fraction form
215,516/469,012 = 469,012/x - Step 3: Cross multiply
215,516x = 469,012 × 469,012 - Step 4: Simplify right side
215,516x = 219,972,256,144 - Step 5: Solve for x
x = 219,972,256,144/215,516 - Step 6: Final answer
x = 1,020,677.15
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.