Finding the Third Proportional to 214,574 and 471,156
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Solution
The third proportional to 214,574 and 471,156 is: 1,034,552.07
Step by Step Solution
- Step 1: Write the proportion equation
214,574 : 471,156 = 471,156 : x - Step 2: Convert to fraction form
214,574/471,156 = 471,156/x - Step 3: Cross multiply
214,574x = 471,156 × 471,156 - Step 4: Simplify right side
214,574x = 221,987,976,336 - Step 5: Solve for x
x = 221,987,976,336/214,574 - Step 6: Final answer
x = 1,034,552.07
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.