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Finding the Third Proportional to 223,299 and 481,581

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Solution

The third proportional to 223,299 and 481,581 is: 1,038,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,299 : 481,581 = 481,581 : x
  2. Step 2: Convert to fraction form
    223,299/481,581 = 481,581/x
  3. Step 3: Cross multiply
    223,299x = 481,581 × 481,581
  4. Step 4: Simplify right side
    223,299x = 231,920,259,561
  5. Step 5: Solve for x
    x = 231,920,259,561/223,299
  6. Step 6: Final answer
    x = 1,038,608.59

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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.