Finding the Third Proportional to 224,376 and 476,448
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Solution
The third proportional to 224,376 and 476,448 is: 1,011,706.67
Step by Step Solution
- Step 1: Write the proportion equation
224,376 : 476,448 = 476,448 : x - Step 2: Convert to fraction form
224,376/476,448 = 476,448/x - Step 3: Cross multiply
224,376x = 476,448 × 476,448 - Step 4: Simplify right side
224,376x = 227,002,696,704 - Step 5: Solve for x
x = 227,002,696,704/224,376 - Step 6: Final answer
x = 1,011,706.67
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.