Finding the Third Proportional to 199,746 and 427,923
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Solution
The third proportional to 199,746 and 427,923 is: 916,754.75
Step by Step Solution
- Step 1: Write the proportion equation
199,746 : 427,923 = 427,923 : x - Step 2: Convert to fraction form
199,746/427,923 = 427,923/x - Step 3: Cross multiply
199,746x = 427,923 × 427,923 - Step 4: Simplify right side
199,746x = 183,118,093,929 - Step 5: Solve for x
x = 183,118,093,929/199,746 - Step 6: Final answer
x = 916,754.75
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.