Finding the Third Proportional to 462,035 and 691,173
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Solution
The third proportional to 462,035 and 691,173 is: 1,033,947.90
Step by Step Solution
- Step 1: Write the proportion equation
462,035 : 691,173 = 691,173 : x - Step 2: Convert to fraction form
462,035/691,173 = 691,173/x - Step 3: Cross multiply
462,035x = 691,173 × 691,173 - Step 4: Simplify right side
462,035x = 477,720,115,929 - Step 5: Solve for x
x = 477,720,115,929/462,035 - Step 6: Final answer
x = 1,033,947.90
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.