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Finding the Third Proportional to 233,958.50 and 507,993

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Solution

The third proportional to 233,958.50 and 507,993 is: 1,103,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,958.50 : 507,993 = 507,993 : x
  2. Step 2: Convert to fraction form
    233,958.50/507,993 = 507,993/x
  3. Step 3: Cross multiply
    233,958.50x = 507,993 × 507,993
  4. Step 4: Simplify right side
    233,958.50x = 258,056,888,049
  5. Step 5: Solve for x
    x = 258,056,888,049/233,958.50
  6. Step 6: Final answer
    x = 1,103,002.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.