Finding the Third Proportional to 201,814 and 456,055
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Solution
The third proportional to 201,814 and 456,055 is: 1,030,583.42
Step by Step Solution
- Step 1: Write the proportion equation
201,814 : 456,055 = 456,055 : x - Step 2: Convert to fraction form
201,814/456,055 = 456,055/x - Step 3: Cross multiply
201,814x = 456,055 × 456,055 - Step 4: Simplify right side
201,814x = 207,986,163,025 - Step 5: Solve for x
x = 207,986,163,025/201,814 - Step 6: Final answer
x = 1,030,583.42
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.