Finding the Third Proportional to 421,327.50 and 596,166
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Solution
The third proportional to 421,327.50 and 596,166 is: 843,557.33
Step by Step Solution
- Step 1: Write the proportion equation
421,327.50 : 596,166 = 596,166 : x - Step 2: Convert to fraction form
421,327.50/596,166 = 596,166/x - Step 3: Cross multiply
421,327.50x = 596,166 × 596,166 - Step 4: Simplify right side
421,327.50x = 355,413,899,556 - Step 5: Solve for x
x = 355,413,899,556/421,327.50 - Step 6: Final answer
x = 843,557.33
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.