Finding the Third Proportional to 505,116 and 784,236
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Solution
The third proportional to 505,116 and 784,236 is: 1,217,593.79
Step by Step Solution
- Step 1: Write the proportion equation
505,116 : 784,236 = 784,236 : x - Step 2: Convert to fraction form
505,116/784,236 = 784,236/x - Step 3: Cross multiply
505,116x = 784,236 × 784,236 - Step 4: Simplify right side
505,116x = 615,026,103,696 - Step 5: Solve for x
x = 615,026,103,696/505,116 - Step 6: Final answer
x = 1,217,593.79
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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.