Finding the Third Proportional to 226,220 and 497,271
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Solution
The third proportional to 226,220 and 497,271 is: 1,093,088.35
Step by Step Solution
- Step 1: Write the proportion equation
226,220 : 497,271 = 497,271 : x - Step 2: Convert to fraction form
226,220/497,271 = 497,271/x - Step 3: Cross multiply
226,220x = 497,271 × 497,271 - Step 4: Simplify right side
226,220x = 247,278,447,441 - Step 5: Solve for x
x = 247,278,447,441/226,220 - Step 6: Final answer
x = 1,093,088.35
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.