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Finding the Third Proportional to 504,408.75 and 1,070,327.25

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Solution

The third proportional to 504,408.75 and 1,070,327.25 is: 2,271,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,408.75 : 1,070,327.25 = 1,070,327.25 : x
  2. Step 2: Convert to fraction form
    504,408.75/1,070,327.25 = 1,070,327.25/x
  3. Step 3: Cross multiply
    504,408.75x = 1,070,327.25 × 1,070,327.25
  4. Step 4: Simplify right side
    504,408.75x = 1,145,600,422,092.56
  5. Step 5: Solve for x
    x = 1,145,600,422,092.56/504,408.75
  6. Step 6: Final answer
    x = 2,271,174.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.