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Finding the Third Proportional to 223,824 and 485,568

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Solution

The third proportional to 223,824 and 485,568 is: 1,053,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,824 : 485,568 = 485,568 : x
  2. Step 2: Convert to fraction form
    223,824/485,568 = 485,568/x
  3. Step 3: Cross multiply
    223,824x = 485,568 × 485,568
  4. Step 4: Simplify right side
    223,824x = 235,776,282,624
  5. Step 5: Solve for x
    x = 235,776,282,624/223,824
  6. Step 6: Final answer
    x = 1,053,400.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.