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Finding the Third Proportional to 629,342 and 943,794

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Solution

The third proportional to 629,342 and 943,794 is: 1,415,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,342 : 943,794 = 943,794 : x
  2. Step 2: Convert to fraction form
    629,342/943,794 = 943,794/x
  3. Step 3: Cross multiply
    629,342x = 943,794 × 943,794
  4. Step 4: Simplify right side
    629,342x = 890,747,114,436
  5. Step 5: Solve for x
    x = 890,747,114,436/629,342
  6. Step 6: Final answer
    x = 1,415,362.58

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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.