Finding the Third Proportional to 282,012 and 577,779
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Solution
The third proportional to 282,012 and 577,779 is: 1,183,738.89
Step by Step Solution
- Step 1: Write the proportion equation
282,012 : 577,779 = 577,779 : x - Step 2: Convert to fraction form
282,012/577,779 = 577,779/x - Step 3: Cross multiply
282,012x = 577,779 × 577,779 - Step 4: Simplify right side
282,012x = 333,828,572,841 - Step 5: Solve for x
x = 333,828,572,841/282,012 - Step 6: Final answer
x = 1,183,738.89
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.