Finding the Third Proportional to 229,512 and 492,228
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Solution
The third proportional to 229,512 and 492,228 is: 1,055,667.69
Step by Step Solution
- Step 1: Write the proportion equation
229,512 : 492,228 = 492,228 : x - Step 2: Convert to fraction form
229,512/492,228 = 492,228/x - Step 3: Cross multiply
229,512x = 492,228 × 492,228 - Step 4: Simplify right side
229,512x = 242,288,403,984 - Step 5: Solve for x
x = 242,288,403,984/229,512 - Step 6: Final answer
x = 1,055,667.69
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.