Finding the Third Proportional to 289,313 and 444,965
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Solution
The third proportional to 289,313 and 444,965 is: 684,358.64
Step by Step Solution
- Step 1: Write the proportion equation
289,313 : 444,965 = 444,965 : x - Step 2: Convert to fraction form
289,313/444,965 = 444,965/x - Step 3: Cross multiply
289,313x = 444,965 × 444,965 - Step 4: Simplify right side
289,313x = 197,993,851,225 - Step 5: Solve for x
x = 197,993,851,225/289,313 - Step 6: Final answer
x = 684,358.64
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.