Finding the Third Proportional to 395,440 and 823,648
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Solution
The third proportional to 395,440 and 823,648 is: 1,715,547.31
Step by Step Solution
- Step 1: Write the proportion equation
395,440 : 823,648 = 823,648 : x - Step 2: Convert to fraction form
395,440/823,648 = 823,648/x - Step 3: Cross multiply
395,440x = 823,648 × 823,648 - Step 4: Simplify right side
395,440x = 678,396,027,904 - Step 5: Solve for x
x = 678,396,027,904/395,440 - Step 6: Final answer
x = 1,715,547.31
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.