Finding the Third Proportional to 226,782 and 492,930
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Solution
The third proportional to 226,782 and 492,930 is: 1,071,425.36
Step by Step Solution
- Step 1: Write the proportion equation
226,782 : 492,930 = 492,930 : x - Step 2: Convert to fraction form
226,782/492,930 = 492,930/x - Step 3: Cross multiply
226,782x = 492,930 × 492,930 - Step 4: Simplify right side
226,782x = 242,979,984,900 - Step 5: Solve for x
x = 242,979,984,900/226,782 - Step 6: Final answer
x = 1,071,425.36
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.