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Finding the Third Proportional to 447,508 and 677,762

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Solution

The third proportional to 447,508 and 677,762 is: 1,026,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,508 : 677,762 = 677,762 : x
  2. Step 2: Convert to fraction form
    447,508/677,762 = 677,762/x
  3. Step 3: Cross multiply
    447,508x = 677,762 × 677,762
  4. Step 4: Simplify right side
    447,508x = 459,361,328,644
  5. Step 5: Solve for x
    x = 459,361,328,644/447,508
  6. Step 6: Final answer
    x = 1,026,487.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.