Finding the Third Proportional to 217,994 and 470,388
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Solution
The third proportional to 217,994 and 470,388 is: 1,015,004.41
Step by Step Solution
- Step 1: Write the proportion equation
217,994 : 470,388 = 470,388 : x - Step 2: Convert to fraction form
217,994/470,388 = 470,388/x - Step 3: Cross multiply
217,994x = 470,388 × 470,388 - Step 4: Simplify right side
217,994x = 221,264,870,544 - Step 5: Solve for x
x = 221,264,870,544/217,994 - Step 6: Final answer
x = 1,015,004.41
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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.