Finding the Third Proportional to 219,956 and 471,016
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Solution
The third proportional to 219,956 and 471,016 is: 1,008,638.42
Step by Step Solution
- Step 1: Write the proportion equation
219,956 : 471,016 = 471,016 : x - Step 2: Convert to fraction form
219,956/471,016 = 471,016/x - Step 3: Cross multiply
219,956x = 471,016 × 471,016 - Step 4: Simplify right side
219,956x = 221,856,072,256 - Step 5: Solve for x
x = 221,856,072,256/219,956 - Step 6: Final answer
x = 1,008,638.42
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.