Finding the Third Proportional to 233,079 and 509,898
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Solution
The third proportional to 233,079 and 509,898 is: 1,115,484.32
Step by Step Solution
- Step 1: Write the proportion equation
233,079 : 509,898 = 509,898 : x - Step 2: Convert to fraction form
233,079/509,898 = 509,898/x - Step 3: Cross multiply
233,079x = 509,898 × 509,898 - Step 4: Simplify right side
233,079x = 259,995,970,404 - Step 5: Solve for x
x = 259,995,970,404/233,079 - Step 6: Final answer
x = 1,115,484.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.