Finding the Third Proportional to 235,665 and 509,004
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Solution
The third proportional to 235,665 and 509,004 is: 1,099,378.66
Step by Step Solution
- Step 1: Write the proportion equation
235,665 : 509,004 = 509,004 : x - Step 2: Convert to fraction form
235,665/509,004 = 509,004/x - Step 3: Cross multiply
235,665x = 509,004 × 509,004 - Step 4: Simplify right side
235,665x = 259,085,072,016 - Step 5: Solve for x
x = 259,085,072,016/235,665 - Step 6: Final answer
x = 1,099,378.66
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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.