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Finding the Third Proportional to 481,686.75 and 735,105.38

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Solution

The third proportional to 481,686.75 and 735,105.38 is: 1,121,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,686.75 : 735,105.38 = 735,105.38 : x
  2. Step 2: Convert to fraction form
    481,686.75/735,105.38 = 735,105.38/x
  3. Step 3: Cross multiply
    481,686.75x = 735,105.38 × 735,105.38
  4. Step 4: Simplify right side
    481,686.75x = 540,379,912,353.89
  5. Step 5: Solve for x
    x = 540,379,912,353.89/481,686.75
  6. Step 6: Final answer
    x = 1,121,849.24

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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.