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Finding the Third Proportional to 416,733 and 622,353

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Solution

The third proportional to 416,733 and 622,353 is: 929,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,733 : 622,353 = 622,353 : x
  2. Step 2: Convert to fraction form
    416,733/622,353 = 622,353/x
  3. Step 3: Cross multiply
    416,733x = 622,353 × 622,353
  4. Step 4: Simplify right side
    416,733x = 387,323,256,609
  5. Step 5: Solve for x
    x = 387,323,256,609/416,733
  6. Step 6: Final answer
    x = 929,427.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.