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Finding the Third Proportional to 440,631 and 659,274

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Solution

The third proportional to 440,631 and 659,274 is: 986,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,631 : 659,274 = 659,274 : x
  2. Step 2: Convert to fraction form
    440,631/659,274 = 659,274/x
  3. Step 3: Cross multiply
    440,631x = 659,274 × 659,274
  4. Step 4: Simplify right side
    440,631x = 434,642,207,076
  5. Step 5: Solve for x
    x = 434,642,207,076/440,631
  6. Step 6: Final answer
    x = 986,408.60

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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.