Finding the Third Proportional to 227,624 and 497,288
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Solution
The third proportional to 227,624 and 497,288 is: 1,086,420.39
Step by Step Solution
- Step 1: Write the proportion equation
227,624 : 497,288 = 497,288 : x - Step 2: Convert to fraction form
227,624/497,288 = 497,288/x - Step 3: Cross multiply
227,624x = 497,288 × 497,288 - Step 4: Simplify right side
227,624x = 247,295,354,944 - Step 5: Solve for x
x = 247,295,354,944/227,624 - Step 6: Final answer
x = 1,086,420.39
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.