Finding the Third Proportional to 223,424 and 478,828
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Solution
The third proportional to 223,424 and 478,828 is: 1,026,193.49
Step by Step Solution
- Step 1: Write the proportion equation
223,424 : 478,828 = 478,828 : x - Step 2: Convert to fraction form
223,424/478,828 = 478,828/x - Step 3: Cross multiply
223,424x = 478,828 × 478,828 - Step 4: Simplify right side
223,424x = 229,276,253,584 - Step 5: Solve for x
x = 229,276,253,584/223,424 - Step 6: Final answer
x = 1,026,193.49
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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.