Finding the Third Proportional to 233,082 and 509,742
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Solution
The third proportional to 233,082 and 509,742 is: 1,114,787.53
Step by Step Solution
- Step 1: Write the proportion equation
233,082 : 509,742 = 509,742 : x - Step 2: Convert to fraction form
233,082/509,742 = 509,742/x - Step 3: Cross multiply
233,082x = 509,742 × 509,742 - Step 4: Simplify right side
233,082x = 259,836,906,564 - Step 5: Solve for x
x = 259,836,906,564/233,082 - Step 6: Final answer
x = 1,114,787.53
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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.