Finding the Third Proportional to 301,723 and 447,361
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Solution
The third proportional to 301,723 and 447,361 is: 663,296.68
Step by Step Solution
- Step 1: Write the proportion equation
301,723 : 447,361 = 447,361 : x - Step 2: Convert to fraction form
301,723/447,361 = 447,361/x - Step 3: Cross multiply
301,723x = 447,361 × 447,361 - Step 4: Simplify right side
301,723x = 200,131,864,321 - Step 5: Solve for x
x = 200,131,864,321/301,723 - Step 6: Final answer
x = 663,296.68
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.