Finding the Third Proportional to 219,958 and 471,020
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Solution
The third proportional to 219,958 and 471,020 is: 1,008,646.38
Step by Step Solution
- Step 1: Write the proportion equation
219,958 : 471,020 = 471,020 : x - Step 2: Convert to fraction form
219,958/471,020 = 471,020/x - Step 3: Cross multiply
219,958x = 471,020 × 471,020 - Step 4: Simplify right side
219,958x = 221,859,840,400 - Step 5: Solve for x
x = 221,859,840,400/219,958 - Step 6: Final answer
x = 1,008,646.38
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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.