Finding the Third Proportional to 286,704 and 623,184
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Solution
The third proportional to 286,704 and 623,184 is: 1,354,561.84
Step by Step Solution
- Step 1: Write the proportion equation
286,704 : 623,184 = 623,184 : x - Step 2: Convert to fraction form
286,704/623,184 = 623,184/x - Step 3: Cross multiply
286,704x = 623,184 × 623,184 - Step 4: Simplify right side
286,704x = 388,358,297,856 - Step 5: Solve for x
x = 388,358,297,856/286,704 - Step 6: Final answer
x = 1,354,561.84
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.