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Finding the Third Proportional to 481,296 and 739,851

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Solution

The third proportional to 481,296 and 739,851 is: 1,137,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,296 : 739,851 = 739,851 : x
  2. Step 2: Convert to fraction form
    481,296/739,851 = 739,851/x
  3. Step 3: Cross multiply
    481,296x = 739,851 × 739,851
  4. Step 4: Simplify right side
    481,296x = 547,379,502,201
  5. Step 5: Solve for x
    x = 547,379,502,201/481,296
  6. Step 6: Final answer
    x = 1,137,303.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.