Finding the Third Proportional to 302,288 and 659,840
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Solution
The third proportional to 302,288 and 659,840 is: 1,440,311.31
Step by Step Solution
- Step 1: Write the proportion equation
302,288 : 659,840 = 659,840 : x - Step 2: Convert to fraction form
302,288/659,840 = 659,840/x - Step 3: Cross multiply
302,288x = 659,840 × 659,840 - Step 4: Simplify right side
302,288x = 435,388,825,600 - Step 5: Solve for x
x = 435,388,825,600/302,288 - Step 6: Final answer
x = 1,440,311.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.