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Finding the Third Proportional to 226,890 and 477,000

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Solution

The third proportional to 226,890 and 477,000 is: 1,002,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,890 : 477,000 = 477,000 : x
  2. Step 2: Convert to fraction form
    226,890/477,000 = 477,000/x
  3. Step 3: Cross multiply
    226,890x = 477,000 × 477,000
  4. Step 4: Simplify right side
    226,890x = 227,529,000,000
  5. Step 5: Solve for x
    x = 227,529,000,000/226,890
  6. Step 6: Final answer
    x = 1,002,816.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.