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Finding the Third Proportional to 440,828 and 659,532

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Solution

The third proportional to 440,828 and 659,532 is: 986,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,828 : 659,532 = 659,532 : x
  2. Step 2: Convert to fraction form
    440,828/659,532 = 659,532/x
  3. Step 3: Cross multiply
    440,828x = 659,532 × 659,532
  4. Step 4: Simplify right side
    440,828x = 434,982,459,024
  5. Step 5: Solve for x
    x = 434,982,459,024/440,828
  6. Step 6: Final answer
    x = 986,739.63

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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.