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Finding the Third Proportional to 227,126 and 477,792

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Solution

The third proportional to 227,126 and 477,792 is: 1,005,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,126 : 477,792 = 477,792 : x
  2. Step 2: Convert to fraction form
    227,126/477,792 = 477,792/x
  3. Step 3: Cross multiply
    227,126x = 477,792 × 477,792
  4. Step 4: Simplify right side
    227,126x = 228,285,195,264
  5. Step 5: Solve for x
    x = 228,285,195,264/227,126
  6. Step 6: Final answer
    x = 1,005,103.75

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