Finding the Third Proportional to 312,073.50 and 457,002
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Solution
The third proportional to 312,073.50 and 457,002 is: 669,236.02
Step by Step Solution
- Step 1: Write the proportion equation
312,073.50 : 457,002 = 457,002 : x - Step 2: Convert to fraction form
312,073.50/457,002 = 457,002/x - Step 3: Cross multiply
312,073.50x = 457,002 × 457,002 - Step 4: Simplify right side
312,073.50x = 208,850,828,004 - Step 5: Solve for x
x = 208,850,828,004/312,073.50 - Step 6: Final answer
x = 669,236.02
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.