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Finding the Third Proportional to 677,940 and 929,601

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Solution

The third proportional to 677,940 and 929,601 is: 1,274,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,940 : 929,601 = 929,601 : x
  2. Step 2: Convert to fraction form
    677,940/929,601 = 929,601/x
  3. Step 3: Cross multiply
    677,940x = 929,601 × 929,601
  4. Step 4: Simplify right side
    677,940x = 864,158,019,201
  5. Step 5: Solve for x
    x = 864,158,019,201/677,940
  6. Step 6: Final answer
    x = 1,274,682.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.