Finding the Third Proportional to 231,815 and 488,537
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Solution
The third proportional to 231,815 and 488,537 is: 1,029,564.09
Step by Step Solution
- Step 1: Write the proportion equation
231,815 : 488,537 = 488,537 : x - Step 2: Convert to fraction form
231,815/488,537 = 488,537/x - Step 3: Cross multiply
231,815x = 488,537 × 488,537 - Step 4: Simplify right side
231,815x = 238,668,400,369 - Step 5: Solve for x
x = 238,668,400,369/231,815 - Step 6: Final answer
x = 1,029,564.09
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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.