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Finding the Third Proportional to 267,745.50 and 579,575.25

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Solution

The third proportional to 267,745.50 and 579,575.25 is: 1,254,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,745.50 : 579,575.25 = 579,575.25 : x
  2. Step 2: Convert to fraction form
    267,745.50/579,575.25 = 579,575.25/x
  3. Step 3: Cross multiply
    267,745.50x = 579,575.25 × 579,575.25
  4. Step 4: Simplify right side
    267,745.50x = 335,907,470,412.56
  5. Step 5: Solve for x
    x = 335,907,470,412.56/267,745.50
  6. Step 6: Final answer
    x = 1,254,577.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.