Finding the Third Proportional to 200,022 and 426,828
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Solution
The third proportional to 200,022 and 426,828 is: 910,810.52
Step by Step Solution
- Step 1: Write the proportion equation
200,022 : 426,828 = 426,828 : x - Step 2: Convert to fraction form
200,022/426,828 = 426,828/x - Step 3: Cross multiply
200,022x = 426,828 × 426,828 - Step 4: Simplify right side
200,022x = 182,182,141,584 - Step 5: Solve for x
x = 182,182,141,584/200,022 - Step 6: Final answer
x = 910,810.52
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1.5x scale
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.