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Finding the Third Proportional to 264,408.75 and 576,175.50

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Solution

The third proportional to 264,408.75 and 576,175.50 is: 1,255,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,408.75 : 576,175.50 = 576,175.50 : x
  2. Step 2: Convert to fraction form
    264,408.75/576,175.50 = 576,175.50/x
  3. Step 3: Cross multiply
    264,408.75x = 576,175.50 × 576,175.50
  4. Step 4: Simplify right side
    264,408.75x = 331,978,206,800.25
  5. Step 5: Solve for x
    x = 331,978,206,800.25/264,408.75
  6. Step 6: Final answer
    x = 1,255,549.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.