Finding the Third Proportional to 415,932 and 851,538
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Solution
The third proportional to 415,932 and 851,538 is: 1,743,354.60
Step by Step Solution
- Step 1: Write the proportion equation
415,932 : 851,538 = 851,538 : x - Step 2: Convert to fraction form
415,932/851,538 = 851,538/x - Step 3: Cross multiply
415,932x = 851,538 × 851,538 - Step 4: Simplify right side
415,932x = 725,116,965,444 - Step 5: Solve for x
x = 725,116,965,444/415,932 - Step 6: Final answer
x = 1,743,354.60
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.