Finding the Third Proportional to 463,729 and 737,670
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Solution
The third proportional to 463,729 and 737,670 is: 1,173,437.57
Step by Step Solution
- Step 1: Write the proportion equation
463,729 : 737,670 = 737,670 : x - Step 2: Convert to fraction form
463,729/737,670 = 737,670/x - Step 3: Cross multiply
463,729x = 737,670 × 737,670 - Step 4: Simplify right side
463,729x = 544,157,028,900 - Step 5: Solve for x
x = 544,157,028,900/463,729 - Step 6: Final answer
x = 1,173,437.57
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.