Finding the Third Proportional to 297,872 and 642,400
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Solution
The third proportional to 297,872 and 642,400 is: 1,385,419.78
Step by Step Solution
- Step 1: Write the proportion equation
297,872 : 642,400 = 642,400 : x - Step 2: Convert to fraction form
297,872/642,400 = 642,400/x - Step 3: Cross multiply
297,872x = 642,400 × 642,400 - Step 4: Simplify right side
297,872x = 412,677,760,000 - Step 5: Solve for x
x = 412,677,760,000/297,872 - Step 6: Final answer
x = 1,385,419.78
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.