Finding the Third Proportional to 235,962 and 509,490
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Solution
The third proportional to 235,962 and 509,490 is: 1,100,092.64
Step by Step Solution
- Step 1: Write the proportion equation
235,962 : 509,490 = 509,490 : x - Step 2: Convert to fraction form
235,962/509,490 = 509,490/x - Step 3: Cross multiply
235,962x = 509,490 × 509,490 - Step 4: Simplify right side
235,962x = 259,580,060,100 - Step 5: Solve for x
x = 259,580,060,100/235,962 - Step 6: Final answer
x = 1,100,092.64
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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.