Finding the Third Proportional to 260,852 and 414,624
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Solution
The third proportional to 260,852 and 414,624 is: 659,044.44
Step by Step Solution
- Step 1: Write the proportion equation
260,852 : 414,624 = 414,624 : x - Step 2: Convert to fraction form
260,852/414,624 = 414,624/x - Step 3: Cross multiply
260,852x = 414,624 × 414,624 - Step 4: Simplify right side
260,852x = 171,913,061,376 - Step 5: Solve for x
x = 171,913,061,376/260,852 - Step 6: Final answer
x = 659,044.44
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.