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Finding the Third Proportional to 224,296 and 479,700

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Solution

The third proportional to 224,296 and 479,700 is: 1,025,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,296 : 479,700 = 479,700 : x
  2. Step 2: Convert to fraction form
    224,296/479,700 = 479,700/x
  3. Step 3: Cross multiply
    224,296x = 479,700 × 479,700
  4. Step 4: Simplify right side
    224,296x = 230,112,090,000
  5. Step 5: Solve for x
    x = 230,112,090,000/224,296
  6. Step 6: Final answer
    x = 1,025,930.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.