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Finding the Third Proportional to 439,193 and 958,702

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Solution

The third proportional to 439,193 and 958,702 is: 2,092,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,193 : 958,702 = 958,702 : x
  2. Step 2: Convert to fraction form
    439,193/958,702 = 958,702/x
  3. Step 3: Cross multiply
    439,193x = 958,702 × 958,702
  4. Step 4: Simplify right side
    439,193x = 919,109,524,804
  5. Step 5: Solve for x
    x = 919,109,524,804/439,193
  6. Step 6: Final answer
    x = 2,092,723.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.