Finding the Third Proportional to 284,808 and 607,744
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Solution
The third proportional to 284,808 and 607,744 is: 1,296,848.30
Step by Step Solution
- Step 1: Write the proportion equation
284,808 : 607,744 = 607,744 : x - Step 2: Convert to fraction form
284,808/607,744 = 607,744/x - Step 3: Cross multiply
284,808x = 607,744 × 607,744 - Step 4: Simplify right side
284,808x = 369,352,769,536 - Step 5: Solve for x
x = 369,352,769,536/284,808 - Step 6: Final answer
x = 1,296,848.30
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.