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Finding the Third Proportional to 677,757 and 903,573

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Solution

The third proportional to 677,757 and 903,573 is: 1,204,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,757 : 903,573 = 903,573 : x
  2. Step 2: Convert to fraction form
    677,757/903,573 = 903,573/x
  3. Step 3: Cross multiply
    677,757x = 903,573 × 903,573
  4. Step 4: Simplify right side
    677,757x = 816,444,166,329
  5. Step 5: Solve for x
    x = 816,444,166,329/677,757
  6. Step 6: Final answer
    x = 1,204,626.68

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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.