Finding the Third Proportional to 232,644 and 502,422
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Solution
The third proportional to 232,644 and 502,422 is: 1,085,039.23
Step by Step Solution
- Step 1: Write the proportion equation
232,644 : 502,422 = 502,422 : x - Step 2: Convert to fraction form
232,644/502,422 = 502,422/x - Step 3: Cross multiply
232,644x = 502,422 × 502,422 - Step 4: Simplify right side
232,644x = 252,427,866,084 - Step 5: Solve for x
x = 252,427,866,084/232,644 - Step 6: Final answer
x = 1,085,039.23
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.