Finding the Third Proportional to 215,738 and 469,352
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Solution
The third proportional to 215,738 and 469,352 is: 1,021,105.69
Step by Step Solution
- Step 1: Write the proportion equation
215,738 : 469,352 = 469,352 : x - Step 2: Convert to fraction form
215,738/469,352 = 469,352/x - Step 3: Cross multiply
215,738x = 469,352 × 469,352 - Step 4: Simplify right side
215,738x = 220,291,299,904 - Step 5: Solve for x
x = 220,291,299,904/215,738 - Step 6: Final answer
x = 1,021,105.69
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.