Finding the Third Proportional to 415,872 and 883,584
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Solution
The third proportional to 415,872 and 883,584 is: 1,877,310.05
Step by Step Solution
- Step 1: Write the proportion equation
415,872 : 883,584 = 883,584 : x - Step 2: Convert to fraction form
415,872/883,584 = 883,584/x - Step 3: Cross multiply
415,872x = 883,584 × 883,584 - Step 4: Simplify right side
415,872x = 780,720,685,056 - Step 5: Solve for x
x = 780,720,685,056/415,872 - Step 6: Final answer
x = 1,877,310.05
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.