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Finding the Third Proportional to 677,760 and 903,577

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Solution

The third proportional to 677,760 and 903,577 is: 1,204,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,760 : 903,577 = 903,577 : x
  2. Step 2: Convert to fraction form
    677,760/903,577 = 903,577/x
  3. Step 3: Cross multiply
    677,760x = 903,577 × 903,577
  4. Step 4: Simplify right side
    677,760x = 816,451,394,929
  5. Step 5: Solve for x
    x = 816,451,394,929/677,760
  6. Step 6: Final answer
    x = 1,204,632.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.