Finding the Third Proportional to 209,654.50 and 460,495
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Solution
The third proportional to 209,654.50 and 460,495 is: 1,011,452.87
Step by Step Solution
- Step 1: Write the proportion equation
209,654.50 : 460,495 = 460,495 : x - Step 2: Convert to fraction form
209,654.50/460,495 = 460,495/x - Step 3: Cross multiply
209,654.50x = 460,495 × 460,495 - Step 4: Simplify right side
209,654.50x = 212,055,645,025 - Step 5: Solve for x
x = 212,055,645,025/209,654.50 - Step 6: Final answer
x = 1,011,452.87
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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.