Finding the Third Proportional to 407,820 and 622,098
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Solution
The third proportional to 407,820 and 622,098 is: 948,962.59
Step by Step Solution
- Step 1: Write the proportion equation
407,820 : 622,098 = 622,098 : x - Step 2: Convert to fraction form
407,820/622,098 = 622,098/x - Step 3: Cross multiply
407,820x = 622,098 × 622,098 - Step 4: Simplify right side
407,820x = 387,005,921,604 - Step 5: Solve for x
x = 387,005,921,604/407,820 - Step 6: Final answer
x = 948,962.59
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.