Finding the Third Proportional to 227,598 and 498,734
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Solution
The third proportional to 227,598 and 498,734 is: 1,092,872.53
Step by Step Solution
- Step 1: Write the proportion equation
227,598 : 498,734 = 498,734 : x - Step 2: Convert to fraction form
227,598/498,734 = 498,734/x - Step 3: Cross multiply
227,598x = 498,734 × 498,734 - Step 4: Simplify right side
227,598x = 248,735,602,756 - Step 5: Solve for x
x = 248,735,602,756/227,598 - Step 6: Final answer
x = 1,092,872.53
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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.