Finding the Third Proportional to 232,398 and 492,698
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Solution
The third proportional to 232,398 and 492,698 is: 1,044,549.95
Step by Step Solution
- Step 1: Write the proportion equation
232,398 : 492,698 = 492,698 : x - Step 2: Convert to fraction form
232,398/492,698 = 492,698/x - Step 3: Cross multiply
232,398x = 492,698 × 492,698 - Step 4: Simplify right side
232,398x = 242,751,319,204 - Step 5: Solve for x
x = 242,751,319,204/232,398 - Step 6: Final answer
x = 1,044,549.95
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.