Finding the Third Proportional to 256,614 and 617,433
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Solution
The third proportional to 256,614 and 617,433 is: 1,485,591.24
Step by Step Solution
- Step 1: Write the proportion equation
256,614 : 617,433 = 617,433 : x - Step 2: Convert to fraction form
256,614/617,433 = 617,433/x - Step 3: Cross multiply
256,614x = 617,433 × 617,433 - Step 4: Simplify right side
256,614x = 381,223,509,489 - Step 5: Solve for x
x = 381,223,509,489/256,614 - Step 6: Final answer
x = 1,485,591.24
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.