Finding the Third Proportional to 284,346 and 601,308
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Solution
The third proportional to 284,346 and 601,308 is: 1,271,589.23
Step by Step Solution
- Step 1: Write the proportion equation
284,346 : 601,308 = 601,308 : x - Step 2: Convert to fraction form
284,346/601,308 = 601,308/x - Step 3: Cross multiply
284,346x = 601,308 × 601,308 - Step 4: Simplify right side
284,346x = 361,571,310,864 - Step 5: Solve for x
x = 361,571,310,864/284,346 - Step 6: Final answer
x = 1,271,589.23
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.