Finding the Third Proportional to 219,316 and 471,896
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Solution
The third proportional to 219,316 and 471,896 is: 1,015,365.20
Step by Step Solution
- Step 1: Write the proportion equation
219,316 : 471,896 = 471,896 : x - Step 2: Convert to fraction form
219,316/471,896 = 471,896/x - Step 3: Cross multiply
219,316x = 471,896 × 471,896 - Step 4: Simplify right side
219,316x = 222,685,834,816 - Step 5: Solve for x
x = 222,685,834,816/219,316 - Step 6: Final answer
x = 1,015,365.20
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.