Finding the Third Proportional to 224,824 and 476,000
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Solution
The third proportional to 224,824 and 476,000 is: 1,007,792.76
Step by Step Solution
- Step 1: Write the proportion equation
224,824 : 476,000 = 476,000 : x - Step 2: Convert to fraction form
224,824/476,000 = 476,000/x - Step 3: Cross multiply
224,824x = 476,000 × 476,000 - Step 4: Simplify right side
224,824x = 226,576,000,000 - Step 5: Solve for x
x = 226,576,000,000/224,824 - Step 6: Final answer
x = 1,007,792.76
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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.