Finding the Third Proportional to 284,221.50 and 607,824
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Solution
The third proportional to 284,221.50 and 607,824 is: 1,299,866.53
Step by Step Solution
- Step 1: Write the proportion equation
284,221.50 : 607,824 = 607,824 : x - Step 2: Convert to fraction form
284,221.50/607,824 = 607,824/x - Step 3: Cross multiply
284,221.50x = 607,824 × 607,824 - Step 4: Simplify right side
284,221.50x = 369,450,014,976 - Step 5: Solve for x
x = 369,450,014,976/284,221.50 - Step 6: Final answer
x = 1,299,866.53
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.