Finding the Third Proportional to 433,223 and 966,057
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Solution
The third proportional to 433,223 and 966,057 is: 2,154,239.57
Step by Step Solution
- Step 1: Write the proportion equation
433,223 : 966,057 = 966,057 : x - Step 2: Convert to fraction form
433,223/966,057 = 966,057/x - Step 3: Cross multiply
433,223x = 966,057 × 966,057 - Step 4: Simplify right side
433,223x = 933,266,127,249 - Step 5: Solve for x
x = 933,266,127,249/433,223 - Step 6: Final answer
x = 2,154,239.57
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.