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Finding the Third Proportional to 227,120 and 477,760

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Solution

The third proportional to 227,120 and 477,760 is: 1,004,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,120 : 477,760 = 477,760 : x
  2. Step 2: Convert to fraction form
    227,120/477,760 = 477,760/x
  3. Step 3: Cross multiply
    227,120x = 477,760 × 477,760
  4. Step 4: Simplify right side
    227,120x = 228,254,617,600
  5. Step 5: Solve for x
    x = 228,254,617,600/227,120
  6. Step 6: Final answer
    x = 1,004,995.67

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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.