Finding the Third Proportional to 215,512 and 470,184
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Solution
The third proportional to 215,512 and 470,184 is: 1,025,803.64
Step by Step Solution
- Step 1: Write the proportion equation
215,512 : 470,184 = 470,184 : x - Step 2: Convert to fraction form
215,512/470,184 = 470,184/x - Step 3: Cross multiply
215,512x = 470,184 × 470,184 - Step 4: Simplify right side
215,512x = 221,072,993,856 - Step 5: Solve for x
x = 221,072,993,856/215,512 - Step 6: Final answer
x = 1,025,803.64
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.