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Finding the Third Proportional to 223,018 and 481,028

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Solution

The third proportional to 223,018 and 481,028 is: 1,037,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,018 : 481,028 = 481,028 : x
  2. Step 2: Convert to fraction form
    223,018/481,028 = 481,028/x
  3. Step 3: Cross multiply
    223,018x = 481,028 × 481,028
  4. Step 4: Simplify right side
    223,018x = 231,387,936,784
  5. Step 5: Solve for x
    x = 231,387,936,784/223,018
  6. Step 6: Final answer
    x = 1,037,530.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.