Finding the Third Proportional to 223,686 and 489,897
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Solution
The third proportional to 223,686 and 489,897 is: 1,072,928.44
Step by Step Solution
- Step 1: Write the proportion equation
223,686 : 489,897 = 489,897 : x - Step 2: Convert to fraction form
223,686/489,897 = 489,897/x - Step 3: Cross multiply
223,686x = 489,897 × 489,897 - Step 4: Simplify right side
223,686x = 239,999,070,609 - Step 5: Solve for x
x = 239,999,070,609/223,686 - Step 6: Final answer
x = 1,072,928.44
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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.