Finding the Third Proportional to 361,776 and 785,824
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Solution
The third proportional to 361,776 and 785,824 is: 1,706,910.79
Step by Step Solution
- Step 1: Write the proportion equation
361,776 : 785,824 = 785,824 : x - Step 2: Convert to fraction form
361,776/785,824 = 785,824/x - Step 3: Cross multiply
361,776x = 785,824 × 785,824 - Step 4: Simplify right side
361,776x = 617,519,358,976 - Step 5: Solve for x
x = 617,519,358,976/361,776 - Step 6: Final answer
x = 1,706,910.79
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.