Finding the Third Proportional to 231,824 and 488,970
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Solution
The third proportional to 231,824 and 488,970 is: 1,031,349.91
Step by Step Solution
- Step 1: Write the proportion equation
231,824 : 488,970 = 488,970 : x - Step 2: Convert to fraction form
231,824/488,970 = 488,970/x - Step 3: Cross multiply
231,824x = 488,970 × 488,970 - Step 4: Simplify right side
231,824x = 239,091,660,900 - Step 5: Solve for x
x = 239,091,660,900/231,824 - Step 6: Final answer
x = 1,031,349.91
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.