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Finding the Third Proportional to 479,062 and 751,504

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Solution

The third proportional to 479,062 and 751,504 is: 1,178,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,062 : 751,504 = 751,504 : x
  2. Step 2: Convert to fraction form
    479,062/751,504 = 751,504/x
  3. Step 3: Cross multiply
    479,062x = 751,504 × 751,504
  4. Step 4: Simplify right side
    479,062x = 564,758,262,016
  5. Step 5: Solve for x
    x = 564,758,262,016/479,062
  6. Step 6: Final answer
    x = 1,178,883.45

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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.