Finding the Third Proportional to 398,942 and 582,983
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Solution
The third proportional to 398,942 and 582,983 is: 851,926.29
Step by Step Solution
- Step 1: Write the proportion equation
398,942 : 582,983 = 582,983 : x - Step 2: Convert to fraction form
398,942/582,983 = 582,983/x - Step 3: Cross multiply
398,942x = 582,983 × 582,983 - Step 4: Simplify right side
398,942x = 339,869,178,289 - Step 5: Solve for x
x = 339,869,178,289/398,942 - Step 6: Final answer
x = 851,926.29
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.