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Finding the Third Proportional to 440,831 and 659,536

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Solution

The third proportional to 440,831 and 659,536 is: 986,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,831 : 659,536 = 659,536 : x
  2. Step 2: Convert to fraction form
    440,831/659,536 = 659,536/x
  3. Step 3: Cross multiply
    440,831x = 659,536 × 659,536
  4. Step 4: Simplify right side
    440,831x = 434,987,735,296
  5. Step 5: Solve for x
    x = 434,987,735,296/440,831
  6. Step 6: Final answer
    x = 986,744.89

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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.