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Finding the Third Proportional to 479,058 and 751,497

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Solution

The third proportional to 479,058 and 751,497 is: 1,178,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,058 : 751,497 = 751,497 : x
  2. Step 2: Convert to fraction form
    479,058/751,497 = 751,497/x
  3. Step 3: Cross multiply
    479,058x = 751,497 × 751,497
  4. Step 4: Simplify right side
    479,058x = 564,747,741,009
  5. Step 5: Solve for x
    x = 564,747,741,009/479,058
  6. Step 6: Final answer
    x = 1,178,871.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.