Finding the Third Proportional to 508,743 and 809,813
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Solution
The third proportional to 508,743 and 809,813 is: 1,289,053.80
Step by Step Solution
- Step 1: Write the proportion equation
508,743 : 809,813 = 809,813 : x - Step 2: Convert to fraction form
508,743/809,813 = 809,813/x - Step 3: Cross multiply
508,743x = 809,813 × 809,813 - Step 4: Simplify right side
508,743x = 655,797,094,969 - Step 5: Solve for x
x = 655,797,094,969/508,743 - Step 6: Final answer
x = 1,289,053.80
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.