Finding the Third Proportional to 208,770 and 457,440
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Solution
The third proportional to 208,770 and 457,440 is: 1,002,305.66
Step by Step Solution
- Step 1: Write the proportion equation
208,770 : 457,440 = 457,440 : x - Step 2: Convert to fraction form
208,770/457,440 = 457,440/x - Step 3: Cross multiply
208,770x = 457,440 × 457,440 - Step 4: Simplify right side
208,770x = 209,251,353,600 - Step 5: Solve for x
x = 209,251,353,600/208,770 - Step 6: Final answer
x = 1,002,305.66
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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.