Finding the Third Proportional to 584,065 and 853,923
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Solution
The third proportional to 584,065 and 853,923 is: 1,248,464.62
Step by Step Solution
- Step 1: Write the proportion equation
584,065 : 853,923 = 853,923 : x - Step 2: Convert to fraction form
584,065/853,923 = 853,923/x - Step 3: Cross multiply
584,065x = 853,923 × 853,923 - Step 4: Simplify right side
584,065x = 729,184,489,929 - Step 5: Solve for x
x = 729,184,489,929/584,065 - Step 6: Final answer
x = 1,248,464.62
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.