Finding the Third Proportional to 218,184 and 470,796
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Solution
The third proportional to 218,184 and 470,796 is: 1,015,880.51
Step by Step Solution
- Step 1: Write the proportion equation
218,184 : 470,796 = 470,796 : x - Step 2: Convert to fraction form
218,184/470,796 = 470,796/x - Step 3: Cross multiply
218,184x = 470,796 × 470,796 - Step 4: Simplify right side
218,184x = 221,648,873,616 - Step 5: Solve for x
x = 221,648,873,616/218,184 - Step 6: Final answer
x = 1,015,880.51
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.