Finding the Third Proportional to 319,728 and 648,420
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Solution
The third proportional to 319,728 and 648,420 is: 1,315,019.32
Step by Step Solution
- Step 1: Write the proportion equation
319,728 : 648,420 = 648,420 : x - Step 2: Convert to fraction form
319,728/648,420 = 648,420/x - Step 3: Cross multiply
319,728x = 648,420 × 648,420 - Step 4: Simplify right side
319,728x = 420,448,496,400 - Step 5: Solve for x
x = 420,448,496,400/319,728 - Step 6: Final answer
x = 1,315,019.32
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.