Finding the Third Proportional to 215,744 and 323,454
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Solution
The third proportional to 215,744 and 323,454 is: 484,938.12
Step by Step Solution
- Step 1: Write the proportion equation
215,744 : 323,454 = 323,454 : x - Step 2: Convert to fraction form
215,744/323,454 = 323,454/x - Step 3: Cross multiply
215,744x = 323,454 × 323,454 - Step 4: Simplify right side
215,744x = 104,622,490,116 - Step 5: Solve for x
x = 104,622,490,116/215,744 - Step 6: Final answer
x = 484,938.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.