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Finding the Third Proportional to 416,741 and 622,365

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Solution

The third proportional to 416,741 and 622,365 is: 929,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,741 : 622,365 = 622,365 : x
  2. Step 2: Convert to fraction form
    416,741/622,365 = 622,365/x
  3. Step 3: Cross multiply
    416,741x = 622,365 × 622,365
  4. Step 4: Simplify right side
    416,741x = 387,338,193,225
  5. Step 5: Solve for x
    x = 387,338,193,225/416,741
  6. Step 6: Final answer
    x = 929,445.85

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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.