Finding the Third Proportional to 209,402 and 460,276
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Solution
The third proportional to 209,402 and 460,276 is: 1,011,709.52
Step by Step Solution
- Step 1: Write the proportion equation
209,402 : 460,276 = 460,276 : x - Step 2: Convert to fraction form
209,402/460,276 = 460,276/x - Step 3: Cross multiply
209,402x = 460,276 × 460,276 - Step 4: Simplify right side
209,402x = 211,853,996,176 - Step 5: Solve for x
x = 211,853,996,176/209,402 - Step 6: Final answer
x = 1,011,709.52
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.