Finding the Third Proportional to 277,438.50 and 416,193.75
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Solution
The third proportional to 277,438.50 and 416,193.75 is: 624,344.63
Step by Step Solution
- Step 1: Write the proportion equation
277,438.50 : 416,193.75 = 416,193.75 : x - Step 2: Convert to fraction form
277,438.50/416,193.75 = 416,193.75/x - Step 3: Cross multiply
277,438.50x = 416,193.75 × 416,193.75 - Step 4: Simplify right side
277,438.50x = 173,217,237,539.06 - Step 5: Solve for x
x = 173,217,237,539.06/277,438.50 - Step 6: Final answer
x = 624,344.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.