Finding the Third Proportional to 229,524 and 497,162
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Solution
The third proportional to 229,524 and 497,162 is: 1,076,881.09
Step by Step Solution
- Step 1: Write the proportion equation
229,524 : 497,162 = 497,162 : x - Step 2: Convert to fraction form
229,524/497,162 = 497,162/x - Step 3: Cross multiply
229,524x = 497,162 × 497,162 - Step 4: Simplify right side
229,524x = 247,170,054,244 - Step 5: Solve for x
x = 247,170,054,244/229,524 - Step 6: Final answer
x = 1,076,881.09
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.