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Finding the Third Proportional to 264,448 and 397,249

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Solution

The third proportional to 264,448 and 397,249 is: 596,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,448 : 397,249 = 397,249 : x
  2. Step 2: Convert to fraction form
    264,448/397,249 = 397,249/x
  3. Step 3: Cross multiply
    264,448x = 397,249 × 397,249
  4. Step 4: Simplify right side
    264,448x = 157,806,768,001
  5. Step 5: Solve for x
    x = 157,806,768,001/264,448
  6. Step 6: Final answer
    x = 596,740.26

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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.