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Finding the Third Proportional to 458,600 and 694,824

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Solution

The third proportional to 458,600 and 694,824 is: 1,052,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,600 : 694,824 = 694,824 : x
  2. Step 2: Convert to fraction form
    458,600/694,824 = 694,824/x
  3. Step 3: Cross multiply
    458,600x = 694,824 × 694,824
  4. Step 4: Simplify right side
    458,600x = 482,780,390,976
  5. Step 5: Solve for x
    x = 482,780,390,976/458,600
  6. Step 6: Final answer
    x = 1,052,726.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.