Finding the Third Proportional to 234,054 and 512,556
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Solution
The third proportional to 234,054 and 512,556 is: 1,122,448.89
Step by Step Solution
- Step 1: Write the proportion equation
234,054 : 512,556 = 512,556 : x - Step 2: Convert to fraction form
234,054/512,556 = 512,556/x - Step 3: Cross multiply
234,054x = 512,556 × 512,556 - Step 4: Simplify right side
234,054x = 262,713,653,136 - Step 5: Solve for x
x = 262,713,653,136/234,054 - Step 6: Final answer
x = 1,122,448.89
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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.