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Finding the Third Proportional to 309,993 and 438,760

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Solution

The third proportional to 309,993 and 438,760 is: 621,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,993 : 438,760 = 438,760 : x
  2. Step 2: Convert to fraction form
    309,993/438,760 = 438,760/x
  3. Step 3: Cross multiply
    309,993x = 438,760 × 438,760
  4. Step 4: Simplify right side
    309,993x = 192,510,337,600
  5. Step 5: Solve for x
    x = 192,510,337,600/309,993
  6. Step 6: Final answer
    x = 621,015.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.