Finding the Third Proportional to 229,856 and 496,608
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Solution
The third proportional to 229,856 and 496,608 is: 1,072,930.47
Step by Step Solution
- Step 1: Write the proportion equation
229,856 : 496,608 = 496,608 : x - Step 2: Convert to fraction form
229,856/496,608 = 496,608/x - Step 3: Cross multiply
229,856x = 496,608 × 496,608 - Step 4: Simplify right side
229,856x = 246,619,505,664 - Step 5: Solve for x
x = 246,619,505,664/229,856 - Step 6: Final answer
x = 1,072,930.47
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.