Finding the Third Proportional to 209,010 and 457,284
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Solution
The third proportional to 209,010 and 457,284 is: 1,000,472.02
Step by Step Solution
- Step 1: Write the proportion equation
209,010 : 457,284 = 457,284 : x - Step 2: Convert to fraction form
209,010/457,284 = 457,284/x - Step 3: Cross multiply
209,010x = 457,284 × 457,284 - Step 4: Simplify right side
209,010x = 209,108,656,656 - Step 5: Solve for x
x = 209,108,656,656/209,010 - Step 6: Final answer
x = 1,000,472.02
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.