Finding the Third Proportional to 209,008 and 457,280
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Solution
The third proportional to 209,008 and 457,280 is: 1,000,464.09
Step by Step Solution
- Step 1: Write the proportion equation
209,008 : 457,280 = 457,280 : x - Step 2: Convert to fraction form
209,008/457,280 = 457,280/x - Step 3: Cross multiply
209,008x = 457,280 × 457,280 - Step 4: Simplify right side
209,008x = 209,104,998,400 - Step 5: Solve for x
x = 209,104,998,400/209,008 - Step 6: Final answer
x = 1,000,464.09
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.