Finding the Third Proportional to 232,416 and 490,944
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Solution
The third proportional to 232,416 and 490,944 is: 1,037,045.69
Step by Step Solution
- Step 1: Write the proportion equation
232,416 : 490,944 = 490,944 : x - Step 2: Convert to fraction form
232,416/490,944 = 490,944/x - Step 3: Cross multiply
232,416x = 490,944 × 490,944 - Step 4: Simplify right side
232,416x = 241,026,011,136 - Step 5: Solve for x
x = 241,026,011,136/232,416 - Step 6: Final answer
x = 1,037,045.69
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.