Finding the Third Proportional to 204,478 and 449,564
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Solution
The third proportional to 204,478 and 449,564 is: 988,408.48
Step by Step Solution
- Step 1: Write the proportion equation
204,478 : 449,564 = 449,564 : x - Step 2: Convert to fraction form
204,478/449,564 = 449,564/x - Step 3: Cross multiply
204,478x = 449,564 × 449,564 - Step 4: Simplify right side
204,478x = 202,107,790,096 - Step 5: Solve for x
x = 202,107,790,096/204,478 - Step 6: Final answer
x = 988,408.48
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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.