Finding the Third Proportional to 209,440 and 457,972
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Solution
The third proportional to 209,440 and 457,972 is: 1,001,424.53
Step by Step Solution
- Step 1: Write the proportion equation
209,440 : 457,972 = 457,972 : x - Step 2: Convert to fraction form
209,440/457,972 = 457,972/x - Step 3: Cross multiply
209,440x = 457,972 × 457,972 - Step 4: Simplify right side
209,440x = 209,738,352,784 - Step 5: Solve for x
x = 209,738,352,784/209,440 - Step 6: Final answer
x = 1,001,424.53
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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.