Finding the Third Proportional to 225,414 and 475,977
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Solution
The third proportional to 225,414 and 475,977 is: 1,005,057.82
Step by Step Solution
- Step 1: Write the proportion equation
225,414 : 475,977 = 475,977 : x - Step 2: Convert to fraction form
225,414/475,977 = 475,977/x - Step 3: Cross multiply
225,414x = 475,977 × 475,977 - Step 4: Simplify right side
225,414x = 226,554,104,529 - Step 5: Solve for x
x = 226,554,104,529/225,414 - Step 6: Final answer
x = 1,005,057.82
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.