Finding the Third Proportional to 222,064 and 488,412
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Solution
The third proportional to 222,064 and 488,412 is: 1,074,223.11
Step by Step Solution
- Step 1: Write the proportion equation
222,064 : 488,412 = 488,412 : x - Step 2: Convert to fraction form
222,064/488,412 = 488,412/x - Step 3: Cross multiply
222,064x = 488,412 × 488,412 - Step 4: Simplify right side
222,064x = 238,546,281,744 - Step 5: Solve for x
x = 238,546,281,744/222,064 - Step 6: Final answer
x = 1,074,223.11
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.