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Finding the Third Proportional to 264,476 and 397,301

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Solution

The third proportional to 264,476 and 397,301 is: 596,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,476 : 397,301 = 397,301 : x
  2. Step 2: Convert to fraction form
    264,476/397,301 = 397,301/x
  3. Step 3: Cross multiply
    264,476x = 397,301 × 397,301
  4. Step 4: Simplify right side
    264,476x = 157,848,084,601
  5. Step 5: Solve for x
    x = 157,848,084,601/264,476
  6. Step 6: Final answer
    x = 596,833.30

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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.