Finding the Third Proportional to 217,996 and 470,392
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Solution
The third proportional to 217,996 and 470,392 is: 1,015,012.36
Step by Step Solution
- Step 1: Write the proportion equation
217,996 : 470,392 = 470,392 : x - Step 2: Convert to fraction form
217,996/470,392 = 470,392/x - Step 3: Cross multiply
217,996x = 470,392 × 470,392 - Step 4: Simplify right side
217,996x = 221,268,633,664 - Step 5: Solve for x
x = 221,268,633,664/217,996 - Step 6: Final answer
x = 1,015,012.36
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.