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Finding the Third Proportional to 480,832 and 754,256

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Solution

The third proportional to 480,832 and 754,256 is: 1,183,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,832 : 754,256 = 754,256 : x
  2. Step 2: Convert to fraction form
    480,832/754,256 = 754,256/x
  3. Step 3: Cross multiply
    480,832x = 754,256 × 754,256
  4. Step 4: Simplify right side
    480,832x = 568,902,113,536
  5. Step 5: Solve for x
    x = 568,902,113,536/480,832
  6. Step 6: Final answer
    x = 1,183,161.92

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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.