Finding the Third Proportional to 260,460 and 534,744
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Solution
The third proportional to 260,460 and 534,744 is: 1,097,869.71
Step by Step Solution
- Step 1: Write the proportion equation
260,460 : 534,744 = 534,744 : x - Step 2: Convert to fraction form
260,460/534,744 = 534,744/x - Step 3: Cross multiply
260,460x = 534,744 × 534,744 - Step 4: Simplify right side
260,460x = 285,951,145,536 - Step 5: Solve for x
x = 285,951,145,536/260,460 - Step 6: Final answer
x = 1,097,869.71
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.