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Finding the Third Proportional to 479,165 and 741,831

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Solution

The third proportional to 479,165 and 741,831 is: 1,148,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,165 : 741,831 = 741,831 : x
  2. Step 2: Convert to fraction form
    479,165/741,831 = 741,831/x
  3. Step 3: Cross multiply
    479,165x = 741,831 × 741,831
  4. Step 4: Simplify right side
    479,165x = 550,313,232,561
  5. Step 5: Solve for x
    x = 550,313,232,561/479,165
  6. Step 6: Final answer
    x = 1,148,483.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.