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Finding the Third Proportional to 479,160 and 741,824

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Solution

The third proportional to 479,160 and 741,824 is: 1,148,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,160 : 741,824 = 741,824 : x
  2. Step 2: Convert to fraction form
    479,160/741,824 = 741,824/x
  3. Step 3: Cross multiply
    479,160x = 741,824 × 741,824
  4. Step 4: Simplify right side
    479,160x = 550,302,846,976
  5. Step 5: Solve for x
    x = 550,302,846,976/479,160
  6. Step 6: Final answer
    x = 1,148,474.09

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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.