Finding the Third Proportional to 231,859 and 488,623
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Solution
The third proportional to 231,859 and 488,623 is: 1,029,731.16
Step by Step Solution
- Step 1: Write the proportion equation
231,859 : 488,623 = 488,623 : x - Step 2: Convert to fraction form
231,859/488,623 = 488,623/x - Step 3: Cross multiply
231,859x = 488,623 × 488,623 - Step 4: Simplify right side
231,859x = 238,752,436,129 - Step 5: Solve for x
x = 238,752,436,129/231,859 - Step 6: Final answer
x = 1,029,731.16
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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.