Finding the Third Proportional to 214,544 and 457,576
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Solution
The third proportional to 214,544 and 457,576 is: 975,910.75
Step by Step Solution
- Step 1: Write the proportion equation
214,544 : 457,576 = 457,576 : x - Step 2: Convert to fraction form
214,544/457,576 = 457,576/x - Step 3: Cross multiply
214,544x = 457,576 × 457,576 - Step 4: Simplify right side
214,544x = 209,375,795,776 - Step 5: Solve for x
x = 209,375,795,776/214,544 - Step 6: Final answer
x = 975,910.75
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.