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Finding the Third Proportional to 436,969 and 664,575

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Solution

The third proportional to 436,969 and 664,575 is: 1,010,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,969 : 664,575 = 664,575 : x
  2. Step 2: Convert to fraction form
    436,969/664,575 = 664,575/x
  3. Step 3: Cross multiply
    436,969x = 664,575 × 664,575
  4. Step 4: Simplify right side
    436,969x = 441,659,930,625
  5. Step 5: Solve for x
    x = 441,659,930,625/436,969
  6. Step 6: Final answer
    x = 1,010,735.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.