Finding the Third Proportional to 290,142 and 443,799
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Solution
The third proportional to 290,142 and 443,799 is: 678,831.58
Step by Step Solution
- Step 1: Write the proportion equation
290,142 : 443,799 = 443,799 : x - Step 2: Convert to fraction form
290,142/443,799 = 443,799/x - Step 3: Cross multiply
290,142x = 443,799 × 443,799 - Step 4: Simplify right side
290,142x = 196,957,552,401 - Step 5: Solve for x
x = 196,957,552,401/290,142 - Step 6: Final answer
x = 678,831.58
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.