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Finding the Third Proportional to 223,024 and 481,040

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Solution

The third proportional to 223,024 and 481,040 is: 1,037,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,024 : 481,040 = 481,040 : x
  2. Step 2: Convert to fraction form
    223,024/481,040 = 481,040/x
  3. Step 3: Cross multiply
    223,024x = 481,040 × 481,040
  4. Step 4: Simplify right side
    223,024x = 231,399,481,600
  5. Step 5: Solve for x
    x = 231,399,481,600/223,024
  6. Step 6: Final answer
    x = 1,037,554.17

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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.