Finding the Third Proportional to 225,714 and 485,412
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Solution
The third proportional to 225,714 and 485,412 is: 1,043,908.71
Step by Step Solution
- Step 1: Write the proportion equation
225,714 : 485,412 = 485,412 : x - Step 2: Convert to fraction form
225,714/485,412 = 485,412/x - Step 3: Cross multiply
225,714x = 485,412 × 485,412 - Step 4: Simplify right side
225,714x = 235,624,809,744 - Step 5: Solve for x
x = 235,624,809,744/225,714 - Step 6: Final answer
x = 1,043,908.71
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.