Finding the Third Proportional to 229,780 and 486,056
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Solution
The third proportional to 229,780 and 486,056 is: 1,028,159.26
Step by Step Solution
- Step 1: Write the proportion equation
229,780 : 486,056 = 486,056 : x - Step 2: Convert to fraction form
229,780/486,056 = 486,056/x - Step 3: Cross multiply
229,780x = 486,056 × 486,056 - Step 4: Simplify right side
229,780x = 236,250,435,136 - Step 5: Solve for x
x = 236,250,435,136/229,780 - Step 6: Final answer
x = 1,028,159.26
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.