Finding the Third Proportional to 268,940 and 416,415
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Solution
The third proportional to 268,940 and 416,415 is: 644,758.88
Step by Step Solution
- Step 1: Write the proportion equation
268,940 : 416,415 = 416,415 : x - Step 2: Convert to fraction form
268,940/416,415 = 416,415/x - Step 3: Cross multiply
268,940x = 416,415 × 416,415 - Step 4: Simplify right side
268,940x = 173,401,452,225 - Step 5: Solve for x
x = 173,401,452,225/268,940 - Step 6: Final answer
x = 644,758.88
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.