Finding the Third Proportional to 205,018 and 443,731
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Solution
The third proportional to 205,018 and 443,731 is: 960,389.82
Step by Step Solution
- Step 1: Write the proportion equation
205,018 : 443,731 = 443,731 : x - Step 2: Convert to fraction form
205,018/443,731 = 443,731/x - Step 3: Cross multiply
205,018x = 443,731 × 443,731 - Step 4: Simplify right side
205,018x = 196,897,200,361 - Step 5: Solve for x
x = 196,897,200,361/205,018 - Step 6: Final answer
x = 960,389.82
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.