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Finding the Third Proportional to 227,122 and 477,769

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Solution

The third proportional to 227,122 and 477,769 is: 1,005,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,122 : 477,769 = 477,769 : x
  2. Step 2: Convert to fraction form
    227,122/477,769 = 477,769/x
  3. Step 3: Cross multiply
    227,122x = 477,769 × 477,769
  4. Step 4: Simplify right side
    227,122x = 228,263,217,361
  5. Step 5: Solve for x
    x = 228,263,217,361/227,122
  6. Step 6: Final answer
    x = 1,005,024.69

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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.