Finding the Third Proportional to 299,469 and 654,257
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Solution
The third proportional to 299,469 and 654,257 is: 1,429,370.73
Step by Step Solution
- Step 1: Write the proportion equation
299,469 : 654,257 = 654,257 : x - Step 2: Convert to fraction form
299,469/654,257 = 654,257/x - Step 3: Cross multiply
299,469x = 654,257 × 654,257 - Step 4: Simplify right side
299,469x = 428,052,222,049 - Step 5: Solve for x
x = 428,052,222,049/299,469 - Step 6: Final answer
x = 1,429,370.73
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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.