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Finding the Third Proportional to 479,044.50 and 751,479.75

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Solution

The third proportional to 479,044.50 and 751,479.75 is: 1,178,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,044.50 : 751,479.75 = 751,479.75 : x
  2. Step 2: Convert to fraction form
    479,044.50/751,479.75 = 751,479.75/x
  3. Step 3: Cross multiply
    479,044.50x = 751,479.75 × 751,479.75
  4. Step 4: Simplify right side
    479,044.50x = 564,721,814,660.06
  5. Step 5: Solve for x
    x = 564,721,814,660.06/479,044.50
  6. Step 6: Final answer
    x = 1,178,850.43

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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.