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Finding the Third Proportional to 226,902 and 477,024

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Solution

The third proportional to 226,902 and 477,024 is: 1,002,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,902 : 477,024 = 477,024 : x
  2. Step 2: Convert to fraction form
    226,902/477,024 = 477,024/x
  3. Step 3: Cross multiply
    226,902x = 477,024 × 477,024
  4. Step 4: Simplify right side
    226,902x = 227,551,896,576
  5. Step 5: Solve for x
    x = 227,551,896,576/226,902
  6. Step 6: Final answer
    x = 1,002,864.22

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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.