Finding the Third Proportional to 214,218 and 470,482
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Solution
The third proportional to 214,218 and 470,482 is: 1,033,308.65
Step by Step Solution
- Step 1: Write the proportion equation
214,218 : 470,482 = 470,482 : x - Step 2: Convert to fraction form
214,218/470,482 = 470,482/x - Step 3: Cross multiply
214,218x = 470,482 × 470,482 - Step 4: Simplify right side
214,218x = 221,353,312,324 - Step 5: Solve for x
x = 221,353,312,324/214,218 - Step 6: Final answer
x = 1,033,308.65
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.