Finding the Third Proportional to 227,956 and 497,870
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Solution
The third proportional to 227,956 and 497,870 is: 1,087,378.87
Step by Step Solution
- Step 1: Write the proportion equation
227,956 : 497,870 = 497,870 : x - Step 2: Convert to fraction form
227,956/497,870 = 497,870/x - Step 3: Cross multiply
227,956x = 497,870 × 497,870 - Step 4: Simplify right side
227,956x = 247,874,536,900 - Step 5: Solve for x
x = 247,874,536,900/227,956 - Step 6: Final answer
x = 1,087,378.87
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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.