Finding the Third Proportional to 218,959 and 478,559
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Solution
The third proportional to 218,959 and 478,559 is: 1,045,943.38
Step by Step Solution
- Step 1: Write the proportion equation
218,959 : 478,559 = 478,559 : x - Step 2: Convert to fraction form
218,959/478,559 = 478,559/x - Step 3: Cross multiply
218,959x = 478,559 × 478,559 - Step 4: Simplify right side
218,959x = 229,018,716,481 - Step 5: Solve for x
x = 229,018,716,481/218,959 - Step 6: Final answer
x = 1,045,943.38
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.