Finding the Third Proportional to 299,837 and 644,138
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Solution
The third proportional to 299,837 and 644,138 is: 1,383,797.74
Step by Step Solution
- Step 1: Write the proportion equation
299,837 : 644,138 = 644,138 : x - Step 2: Convert to fraction form
299,837/644,138 = 644,138/x - Step 3: Cross multiply
299,837x = 644,138 × 644,138 - Step 4: Simplify right side
299,837x = 414,913,763,044 - Step 5: Solve for x
x = 414,913,763,044/299,837 - Step 6: Final answer
x = 1,383,797.74
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.