Finding the Third Proportional to 205,557.75 and 457,827.19
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Solution
The third proportional to 205,557.75 and 457,827.19 is: 1,019,692.68
Step by Step Solution
- Step 1: Write the proportion equation
205,557.75 : 457,827.19 = 457,827.19 : x - Step 2: Convert to fraction form
205,557.75/457,827.19 = 457,827.19/x - Step 3: Cross multiply
205,557.75x = 457,827.19 × 457,827.19 - Step 4: Simplify right side
205,557.75x = 209,605,733,614.16 - Step 5: Solve for x
x = 209,605,733,614.16/205,557.75 - Step 6: Final answer
x = 1,019,692.68
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.