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Finding the Third Proportional to 629,334 and 943,785

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Solution

The third proportional to 629,334 and 943,785 is: 1,415,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,334 : 943,785 = 943,785 : x
  2. Step 2: Convert to fraction form
    629,334/943,785 = 943,785/x
  3. Step 3: Cross multiply
    629,334x = 943,785 × 943,785
  4. Step 4: Simplify right side
    629,334x = 890,730,126,225
  5. Step 5: Solve for x
    x = 890,730,126,225/629,334
  6. Step 6: Final answer
    x = 1,415,353.57

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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.