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Finding the Third Proportional to 264,603 and 397,500

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Solution

The third proportional to 264,603 and 397,500 is: 597,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,603 : 397,500 = 397,500 : x
  2. Step 2: Convert to fraction form
    264,603/397,500 = 397,500/x
  3. Step 3: Cross multiply
    264,603x = 397,500 × 397,500
  4. Step 4: Simplify right side
    264,603x = 158,006,250,000
  5. Step 5: Solve for x
    x = 158,006,250,000/264,603
  6. Step 6: Final answer
    x = 597,144.59

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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.