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Finding the Third Proportional to 481,520 and 735,105

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Solution

The third proportional to 481,520 and 735,105 is: 1,122,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,520 : 735,105 = 735,105 : x
  2. Step 2: Convert to fraction form
    481,520/735,105 = 735,105/x
  3. Step 3: Cross multiply
    481,520x = 735,105 × 735,105
  4. Step 4: Simplify right side
    481,520x = 540,379,361,025
  5. Step 5: Solve for x
    x = 540,379,361,025/481,520
  6. Step 6: Final answer
    x = 1,122,236.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.