Finding the Third Proportional to 233,544 and 513,744
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Solution
The third proportional to 233,544 and 513,744 is: 1,130,120.65
Step by Step Solution
- Step 1: Write the proportion equation
233,544 : 513,744 = 513,744 : x - Step 2: Convert to fraction form
233,544/513,744 = 513,744/x - Step 3: Cross multiply
233,544x = 513,744 × 513,744 - Step 4: Simplify right side
233,544x = 263,932,897,536 - Step 5: Solve for x
x = 263,932,897,536/233,544 - Step 6: Final answer
x = 1,130,120.65
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.