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Finding the Third Proportional to 225,769 and 493,517

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Solution

The third proportional to 225,769 and 493,517 is: 1,078,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,769 : 493,517 = 493,517 : x
  2. Step 2: Convert to fraction form
    225,769/493,517 = 493,517/x
  3. Step 3: Cross multiply
    225,769x = 493,517 × 493,517
  4. Step 4: Simplify right side
    225,769x = 243,559,029,289
  5. Step 5: Solve for x
    x = 243,559,029,289/225,769
  6. Step 6: Final answer
    x = 1,078,797.48

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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.