Finding the Third Proportional to 464,511 and 678,843
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Solution
The third proportional to 464,511 and 678,843 is: 992,070.84
Step by Step Solution
- Step 1: Write the proportion equation
464,511 : 678,843 = 678,843 : x - Step 2: Convert to fraction form
464,511/678,843 = 678,843/x - Step 3: Cross multiply
464,511x = 678,843 × 678,843 - Step 4: Simplify right side
464,511x = 460,827,818,649 - Step 5: Solve for x
x = 460,827,818,649/464,511 - Step 6: Final answer
x = 992,070.84
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.