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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

  1. Step 1: Write the proportion equation
    224,824 : 476,000 = 476,000 : x
  2. Step 2: Convert to fraction form
    224,824/476,000 = 476,000/x
  3. Step 3: Cross multiply
    224,824x = 476,000 × 476,000
  4. Step 4: Simplify right side
    224,824x = 226,576,000,000
  5. Step 5: Solve for x
    x = 226,576,000,000/224,824
  6. 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.