Finding the Third Proportional to 270,280 and 423,987
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Solution
The third proportional to 270,280 and 423,987 is: 665,106.47
Step by Step Solution
- Step 1: Write the proportion equation
270,280 : 423,987 = 423,987 : x - Step 2: Convert to fraction form
270,280/423,987 = 423,987/x - Step 3: Cross multiply
270,280x = 423,987 × 423,987 - Step 4: Simplify right side
270,280x = 179,764,976,169 - Step 5: Solve for x
x = 179,764,976,169/270,280 - Step 6: Final answer
x = 665,106.47
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.