Finding the Third Proportional to 397,184 and 851,224
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Solution
The third proportional to 397,184 and 851,224 is: 1,824,298.81
Step by Step Solution
- Step 1: Write the proportion equation
397,184 : 851,224 = 851,224 : x - Step 2: Convert to fraction form
397,184/851,224 = 851,224/x - Step 3: Cross multiply
397,184x = 851,224 × 851,224 - Step 4: Simplify right side
397,184x = 724,582,298,176 - Step 5: Solve for x
x = 724,582,298,176/397,184 - Step 6: Final answer
x = 1,824,298.81
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.