Finding the Third Proportional to 225,460 and 496,012
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Solution
The third proportional to 225,460 and 496,012 is: 1,091,226.40
Step by Step Solution
- Step 1: Write the proportion equation
225,460 : 496,012 = 496,012 : x - Step 2: Convert to fraction form
225,460/496,012 = 496,012/x - Step 3: Cross multiply
225,460x = 496,012 × 496,012 - Step 4: Simplify right side
225,460x = 246,027,904,144 - Step 5: Solve for x
x = 246,027,904,144/225,460 - Step 6: Final answer
x = 1,091,226.40
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.