Finding the Third Proportional to 294,595 and 460,849
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Solution
The third proportional to 294,595 and 460,849 is: 720,928.06
Step by Step Solution
- Step 1: Write the proportion equation
294,595 : 460,849 = 460,849 : x - Step 2: Convert to fraction form
294,595/460,849 = 460,849/x - Step 3: Cross multiply
294,595x = 460,849 × 460,849 - Step 4: Simplify right side
294,595x = 212,381,800,801 - Step 5: Solve for x
x = 212,381,800,801/294,595 - Step 6: Final answer
x = 720,928.06
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.