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Finding the Third Proportional to 223,280 and 481,544

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Solution

The third proportional to 223,280 and 481,544 is: 1,038,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,280 : 481,544 = 481,544 : x
  2. Step 2: Convert to fraction form
    223,280/481,544 = 481,544/x
  3. Step 3: Cross multiply
    223,280x = 481,544 × 481,544
  4. Step 4: Simplify right side
    223,280x = 231,884,623,936
  5. Step 5: Solve for x
    x = 231,884,623,936/223,280
  6. Step 6: Final answer
    x = 1,038,537.37

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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.