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Finding the Third Proportional to 223,908 and 486,759

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Solution

The third proportional to 223,908 and 486,759 is: 1,058,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,908 : 486,759 = 486,759 : x
  2. Step 2: Convert to fraction form
    223,908/486,759 = 486,759/x
  3. Step 3: Cross multiply
    223,908x = 486,759 × 486,759
  4. Step 4: Simplify right side
    223,908x = 236,934,324,081
  5. Step 5: Solve for x
    x = 236,934,324,081/223,908
  6. Step 6: Final answer
    x = 1,058,177.13

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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.