Finding the Third Proportional to 209,056 and 459,730
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Solution
The third proportional to 209,056 and 459,730 is: 1,010,981.14
Step by Step Solution
- Step 1: Write the proportion equation
209,056 : 459,730 = 459,730 : x - Step 2: Convert to fraction form
209,056/459,730 = 459,730/x - Step 3: Cross multiply
209,056x = 459,730 × 459,730 - Step 4: Simplify right side
209,056x = 211,351,672,900 - Step 5: Solve for x
x = 211,351,672,900/209,056 - Step 6: Final answer
x = 1,010,981.14
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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.