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Finding the Third Proportional to 227,029 and 481,731

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Solution

The third proportional to 227,029 and 481,731 is: 1,022,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,029 : 481,731 = 481,731 : x
  2. Step 2: Convert to fraction form
    227,029/481,731 = 481,731/x
  3. Step 3: Cross multiply
    227,029x = 481,731 × 481,731
  4. Step 4: Simplify right side
    227,029x = 232,064,756,361
  5. Step 5: Solve for x
    x = 232,064,756,361/227,029
  6. Step 6: Final answer
    x = 1,022,181.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.