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Finding the Third Proportional to 479,048 and 751,484

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Solution

The third proportional to 479,048 and 751,484 is: 1,178,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,048 : 751,484 = 751,484 : x
  2. Step 2: Convert to fraction form
    479,048/751,484 = 751,484/x
  3. Step 3: Cross multiply
    479,048x = 751,484 × 751,484
  4. Step 4: Simplify right side
    479,048x = 564,728,202,256
  5. Step 5: Solve for x
    x = 564,728,202,256/479,048
  6. Step 6: Final answer
    x = 1,178,855.15

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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.