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Finding the Third Proportional to 470,379 and 706,626

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Solution

The third proportional to 470,379 and 706,626 is: 1,061,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,379 : 706,626 = 706,626 : x
  2. Step 2: Convert to fraction form
    470,379/706,626 = 706,626/x
  3. Step 3: Cross multiply
    470,379x = 706,626 × 706,626
  4. Step 4: Simplify right side
    470,379x = 499,320,303,876
  5. Step 5: Solve for x
    x = 499,320,303,876/470,379
  6. Step 6: Final answer
    x = 1,061,527.63

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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.