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Finding the Third Proportional to 225,759 and 493,494

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Solution

The third proportional to 225,759 and 493,494 is: 1,078,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,759 : 493,494 = 493,494 : x
  2. Step 2: Convert to fraction form
    225,759/493,494 = 493,494/x
  3. Step 3: Cross multiply
    225,759x = 493,494 × 493,494
  4. Step 4: Simplify right side
    225,759x = 243,536,328,036
  5. Step 5: Solve for x
    x = 243,536,328,036/225,759
  6. Step 6: Final answer
    x = 1,078,744.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.