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Finding the Third Proportional to 264,537 and 397,408.50

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Solution

The third proportional to 264,537 and 397,408.50 is: 597,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,537 : 397,408.50 = 397,408.50 : x
  2. Step 2: Convert to fraction form
    264,537/397,408.50 = 397,408.50/x
  3. Step 3: Cross multiply
    264,537x = 397,408.50 × 397,408.50
  4. Step 4: Simplify right side
    264,537x = 157,933,515,872.25
  5. Step 5: Solve for x
    x = 157,933,515,872.25/264,537
  6. Step 6: Final answer
    x = 597,018.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.