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Finding the Third Proportional to 264,592 and 397,484

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Solution

The third proportional to 264,592 and 397,484 is: 597,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,592 : 397,484 = 397,484 : x
  2. Step 2: Convert to fraction form
    264,592/397,484 = 397,484/x
  3. Step 3: Cross multiply
    264,592x = 397,484 × 397,484
  4. Step 4: Simplify right side
    264,592x = 157,993,530,256
  5. Step 5: Solve for x
    x = 157,993,530,256/264,592
  6. Step 6: Final answer
    x = 597,121.34

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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.