Finding the Third Proportional to 209,044 and 459,706
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Solution
The third proportional to 209,044 and 459,706 is: 1,010,933.61
Step by Step Solution
- Step 1: Write the proportion equation
209,044 : 459,706 = 459,706 : x - Step 2: Convert to fraction form
209,044/459,706 = 459,706/x - Step 3: Cross multiply
209,044x = 459,706 × 459,706 - Step 4: Simplify right side
209,044x = 211,329,606,436 - Step 5: Solve for x
x = 211,329,606,436/209,044 - Step 6: Final answer
x = 1,010,933.61
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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.