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Finding the Third Proportional to 254,209.50 and 501,993

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Solution

The third proportional to 254,209.50 and 501,993 is: 991,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,209.50 : 501,993 = 501,993 : x
  2. Step 2: Convert to fraction form
    254,209.50/501,993 = 501,993/x
  3. Step 3: Cross multiply
    254,209.50x = 501,993 × 501,993
  4. Step 4: Simplify right side
    254,209.50x = 251,996,972,049
  5. Step 5: Solve for x
    x = 251,996,972,049/254,209.50
  6. Step 6: Final answer
    x = 991,296.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.