Finding the Third Proportional to 288,961.50 and 460,200
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Solution
The third proportional to 288,961.50 and 460,200 is: 732,914.38
Step by Step Solution
- Step 1: Write the proportion equation
288,961.50 : 460,200 = 460,200 : x - Step 2: Convert to fraction form
288,961.50/460,200 = 460,200/x - Step 3: Cross multiply
288,961.50x = 460,200 × 460,200 - Step 4: Simplify right side
288,961.50x = 211,784,040,000 - Step 5: Solve for x
x = 211,784,040,000/288,961.50 - Step 6: Final answer
x = 732,914.38
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.