Finding the Third Proportional to 289,324 and 442,324
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Solution
The third proportional to 289,324 and 442,324 is: 676,233.29
Step by Step Solution
- Step 1: Write the proportion equation
289,324 : 442,324 = 442,324 : x - Step 2: Convert to fraction form
289,324/442,324 = 442,324/x - Step 3: Cross multiply
289,324x = 442,324 × 442,324 - Step 4: Simplify right side
289,324x = 195,650,520,976 - Step 5: Solve for x
x = 195,650,520,976/289,324 - Step 6: Final answer
x = 676,233.29
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.