Finding the Third Proportional to 229,411.50 and 539,751
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Solution
The third proportional to 229,411.50 and 539,751 is: 1,269,906.44
Step by Step Solution
- Step 1: Write the proportion equation
229,411.50 : 539,751 = 539,751 : x - Step 2: Convert to fraction form
229,411.50/539,751 = 539,751/x - Step 3: Cross multiply
229,411.50x = 539,751 × 539,751 - Step 4: Simplify right side
229,411.50x = 291,331,142,001 - Step 5: Solve for x
x = 291,331,142,001/229,411.50 - Step 6: Final answer
x = 1,269,906.44
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.