Finding the Third Proportional to 525,646 and 823,635
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Solution
The third proportional to 525,646 and 823,635 is: 1,290,554.12
Step by Step Solution
- Step 1: Write the proportion equation
525,646 : 823,635 = 823,635 : x - Step 2: Convert to fraction form
525,646/823,635 = 823,635/x - Step 3: Cross multiply
525,646x = 823,635 × 823,635 - Step 4: Simplify right side
525,646x = 678,374,613,225 - Step 5: Solve for x
x = 678,374,613,225/525,646 - Step 6: Final answer
x = 1,290,554.12
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.