Finding the Third Proportional to 229,014 and 491,940
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Solution
The third proportional to 229,014 and 491,940 is: 1,056,725.63
Step by Step Solution
- Step 1: Write the proportion equation
229,014 : 491,940 = 491,940 : x - Step 2: Convert to fraction form
229,014/491,940 = 491,940/x - Step 3: Cross multiply
229,014x = 491,940 × 491,940 - Step 4: Simplify right side
229,014x = 242,004,963,600 - Step 5: Solve for x
x = 242,004,963,600/229,014 - Step 6: Final answer
x = 1,056,725.63
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.