Finding the Third Proportional to 236,320 and 509,744
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Solution
The third proportional to 236,320 and 509,744 is: 1,099,521.60
Step by Step Solution
- Step 1: Write the proportion equation
236,320 : 509,744 = 509,744 : x - Step 2: Convert to fraction form
236,320/509,744 = 509,744/x - Step 3: Cross multiply
236,320x = 509,744 × 509,744 - Step 4: Simplify right side
236,320x = 259,838,945,536 - Step 5: Solve for x
x = 259,838,945,536/236,320 - Step 6: Final answer
x = 1,099,521.60
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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.