Finding the Third Proportional to 209,270 and 457,662
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Solution
The third proportional to 209,270 and 457,662 is: 1,000,881.67
Step by Step Solution
- Step 1: Write the proportion equation
209,270 : 457,662 = 457,662 : x - Step 2: Convert to fraction form
209,270/457,662 = 457,662/x - Step 3: Cross multiply
209,270x = 457,662 × 457,662 - Step 4: Simplify right side
209,270x = 209,454,506,244 - Step 5: Solve for x
x = 209,454,506,244/209,270 - Step 6: Final answer
x = 1,000,881.67
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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.