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Finding the Third Proportional to 416,745.24 and 628,404.76

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Solution

The third proportional to 416,745.24 and 628,404.76 is: 947,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,745.24 : 628,404.76 = 628,404.76 : x
  2. Step 2: Convert to fraction form
    416,745.24/628,404.76 = 628,404.76/x
  3. Step 3: Cross multiply
    416,745.24x = 628,404.76 × 628,404.76
  4. Step 4: Simplify right side
    416,745.24x = 394,892,546,391.84
  5. Step 5: Solve for x
    x = 394,892,546,391.84/416,745.24
  6. Step 6: Final answer
    x = 947,563.43

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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.