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Finding the Third Proportional to 264,772 and 397,750

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Solution

The third proportional to 264,772 and 397,750 is: 597,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,772 : 397,750 = 397,750 : x
  2. Step 2: Convert to fraction form
    264,772/397,750 = 397,750/x
  3. Step 3: Cross multiply
    264,772x = 397,750 × 397,750
  4. Step 4: Simplify right side
    264,772x = 158,205,062,500
  5. Step 5: Solve for x
    x = 158,205,062,500/264,772
  6. Step 6: Final answer
    x = 597,514.32

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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.