Finding the Third Proportional to 284,407 and 614,426
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Solution
The third proportional to 284,407 and 614,426 is: 1,327,391.06
Step by Step Solution
- Step 1: Write the proportion equation
284,407 : 614,426 = 614,426 : x - Step 2: Convert to fraction form
284,407/614,426 = 614,426/x - Step 3: Cross multiply
284,407x = 614,426 × 614,426 - Step 4: Simplify right side
284,407x = 377,519,309,476 - Step 5: Solve for x
x = 377,519,309,476/284,407 - Step 6: Final answer
x = 1,327,391.06
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.